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CBSE
Class 10
Mathematics
Mathematics
Introduction to Trigonometry

Question Bank

Question Bank: Introduction to Trigonometry

This chapter focuses on the foundational concepts of trigonometry, particularly the relationships between the angles and sides of right triangles.

Question Bank - Introduction to Trigonometry

View all (170)
Q1.

What is the definition of sin A in a right triangle?

Single Answer MCQ
Q-00009494
Q2.

Which of the following identities is true for all angles A?

Single Answer MCQ
Q-00009495
Q3.

Which of the following angles has a sine value of 1?

Single Answer MCQ
Q-00009496
Q4.

What is the value of sec 0°?

Single Answer MCQ
Q-00009497
Q5.

If tan A = 3/4, what is the sine value expressed as a fraction?

Single Answer MCQ
Q-00009498
Q6.

Which trigonometric ratio is undefined at 90°?

Single Answer MCQ
Q-00009499
Q7.

If cot A = 1, what is A?

Single Answer MCQ
Q-00009500
Q8.

What is the relationship between cosec A and sin A?

Single Answer MCQ
Q-00009501
Q9.

What is the value of tan 45°?

Single Answer MCQ
Q-00009502
Q10.

What is the value of sin 30°?

Single Answer MCQ
Q-00009504
Q11.

Which of the following is correct for all acute angles A?

Single Answer MCQ
Q-00009506
Q12.

Which of the following is the correct value of cos 60°?

Single Answer MCQ
Q-00009507
Q13.

How can one determine all trigonometric ratios if sin A is known?

Single Answer MCQ
Q-00009508
Q14.

What is the value of tan 30°?

Single Answer MCQ
Q-00009510
Q15.

If A is an angle such that cosec A = 2, what is sin A?

Single Answer MCQ
Q-00009512
Q16.

Which of the following values represents sin 60°?

Single Answer MCQ
Q-00009513
Q17.

What trigonometric ratio is defined as adjacent over hypotenuse?

Single Answer MCQ
Q-00009517
Q18.

In a right-angled triangle, if angle A is 30° and angle B is 60°, what is the value of sin B?

Single Answer MCQ
Q-00009520
Q19.

Which identity holds true for all angles A in terms of cosecant and cotangent?

Single Answer MCQ
Q-00009522
Q20.

If sec θ = 2, what will cos θ be?

Single Answer MCQ
Q-00009525
Q21.

Which of the following angles gives a positive value for tan A?

Single Answer MCQ
Q-00009527
Q22.

Which identity is a consequence of tan A and cot A?

Single Answer MCQ
Q-00009530
Q23.

If tan θ = √3, what is the measure of angle θ?

Single Answer MCQ
Q-00009534
Q24.

Calculate sin(90° - A) in terms of cos A.

Single Answer MCQ
Q-00009536
Q25.

In which of the following cases is sin A = cos B?

Single Answer MCQ
Q-00009538
Q26.

If A + B = 90°, what is the value of tan B in terms of tan A?

Single Answer MCQ
Q-00009540
Q27.

If cot θ = 1, what is the value of θ?

Single Answer MCQ
Q-00009542
Q28.

Which of the following equations holds true for any angle A?

Single Answer MCQ
Q-00009543
Q29.

If sin 90° = 1, what does this indicate?

Single Answer MCQ
Q-00009546
Q30.

If sin A = 0.6, what is the value of cos(90° - A)?

Single Answer MCQ
Q-00009547
Q31.

Which of the following is true for all angles A?

Single Answer MCQ
Q-00009550
Q32.

Which of the following is an incorrect statement regarding complementary angles?

Single Answer MCQ
Q-00009551
Q33.

If csc² A = 2, what is the value of sin A?

Single Answer MCQ
Q-00009554
Q34.

Given that sin A = 0.3, what is the value of sin(90° - A)?

Single Answer MCQ
Q-00009555
Q35.

If sec θ = 5/3, what is the value of cos θ?

Single Answer MCQ
Q-00009558
Q36.

If A and B are complementary angles, which of the following is NOT true?

Single Answer MCQ
Q-00009559
Q37.

What is the trigonometric identity that states sin²A + cos²A = 1?

Single Answer MCQ
Q-00009561
Q38.

Which ratio represents the tangent of an angle in a right triangle?

Single Answer MCQ
Q-00009563
Q39.

For complementary angles A and C, what is tan C if tan A = 4?

Single Answer MCQ
Q-00009564
Q40.

Which of the following is true according to the identity tan A = sin A / cos A?

Single Answer MCQ
Q-00009565
Q41.

What is the value of cos 30°?

Single Answer MCQ
Q-00009567
Q42.

If A = 45°, what is the value of sin(90° - A)?

Single Answer MCQ
Q-00009568
Q43.

Which identity can be derived from sec²A - tan²A = 1?

Single Answer MCQ
Q-00009569
Q44.

Which trigonometric ratio is defined as the ratio of the length of the side opposite the angle to the hypotenuse?

Single Answer MCQ
Q-00009570
Q45.

Which of the following identities relates cotangent with other trigonometric functions?

Single Answer MCQ
Q-00009571
Q46.

Which identity uses the trigonometric ratios for complementary angles?

Single Answer MCQ
Q-00009572
Q47.

Knowing that sin A = \(\frac{3}{5}\), what is the value of cos A using the Pythagorean identity?

Single Answer MCQ
Q-00009573
Q48.

How can you express sin²A in terms of cos²A using a trigonometric identity?

Single Answer MCQ
Q-00009574
Q49.

Calculate the value of cos(90° - 30°).

Single Answer MCQ
Q-00009575
Q50.

If tan A = sin A / cos A, what is the value of tan 60°?

Single Answer MCQ
Q-00009576
Q51.

Which identity can be derived from cosec²A - cot²A = 1?

Single Answer MCQ
Q-00009577
Q52.

If cot A = 2, what is the value of tan(90° - A)?

Single Answer MCQ
Q-00009578
Q53.

Which of the following is not a correct statement about trigonometric identities?

Single Answer MCQ
Q-00009580
Q54.

The value of cosec 30° is?

Single Answer MCQ
Q-00009581
Q55.

Find sin(90°) - sin(90° - A).

Single Answer MCQ
Q-00009582
Q56.

If sin A = 0.8, what is the range of values for cos A?

Single Answer MCQ
Q-00009584
Q57.

What is the value of sin 90°?

Single Answer MCQ
Q-00009585
Q58.

For which angle A is sec A undefined?

Single Answer MCQ
Q-00009587
Q59.

What does the cotangent of an angle represent?

Single Answer MCQ
Q-00009588
Q60.

What is the co-function identity for sin A?

Single Answer MCQ
Q-00009590
Q61.

If the values of sin A = \(\frac{4}{5}\), what is sin² A + cos² A?

Single Answer MCQ
Q-00009591
Q62.

Which of the following identities states that tan²A + 1 = sec²A?

Single Answer MCQ
Q-00009593
Q63.

In a triangle, if one angle measures 30°, what is the complementary angle?

Single Answer MCQ
Q-00009594
Q64.

What is the value of cot 45°?

Single Answer MCQ
Q-00009596
Q65.

What value does sin²(θ) + cos²(θ) always equal?

Single Answer MCQ
Q-00009606
Q66.

If tan(θ) = 3/4, what is the value of sin²(θ)?

Single Answer MCQ
Q-00009607
Q67.

Which function is undefined at 90 degrees?

Single Answer MCQ
Q-00009609
Q68.

Which of the following is the correct expression for sin(2θ)?

Single Answer MCQ
Q-00009611
Q69.

If sin(30°) = 1/2, what is cos(60°)?

Single Answer MCQ
Q-00009613
Q70.

Which of the following statements is always true?

Single Answer MCQ
Q-00009615
Q71.

For angle A, if cos(A) = 1/2, which of the following could be true?

Single Answer MCQ
Q-00009617
Q72.

What is the value of sec(θ) when cos(θ) = 0.5?

Single Answer MCQ
Q-00009619
Q73.

What is the value of tan(45°)?

Single Answer MCQ
Q-00009621
Q74.

Which of the following equations is a trigonometric identity?

Single Answer MCQ
Q-00009623
Q75.

If θ = 30°, what is the value of sin(θ) + cos(θ)?

Single Answer MCQ
Q-00009625
Q76.

What is the range of the sine function?

Single Answer MCQ
Q-00009627
Q77.

Which of the following is true about the function tan(θ)?

Single Answer MCQ
Q-00009629
Q78.

If sin(θ) = 1/√2, what angle θ could be?

Single Answer MCQ
Q-00009631
Q79.

What is the complementary angle of 30°?

Single Answer MCQ
Q-00009633
Q80.

If cos(A) = 0.8, what is the maximum possible value of sin(A)?

Single Answer MCQ
Q-00009635
Q81.

What is the value of sin 45°?

Single Answer MCQ
Q-00035290
Q82.

For angle A = 30°, what is the value of tan A?

Single Answer MCQ
Q-00035291
Q83.

Which of the following is true for tan 60°?

Single Answer MCQ
Q-00035292
Q84.

If sin A = 1/2, what is the value of A?

Single Answer MCQ
Q-00035293
Q85.

What is the cosecant of 45°?

Single Answer MCQ
Q-00035294
Q86.

Identify the correct trigonometric identity: tan A = ?

Single Answer MCQ
Q-00035295
Q87.

What is sin² A + cos² A equal to?

Single Answer MCQ
Q-00035296
Q88.

If sec A = 2, what is the value of cos A?

Single Answer MCQ
Q-00035297
Q89.

Determine cot 60°.

Single Answer MCQ
Q-00035298
Q90.

What is the value of cosec 30°?

Single Answer MCQ
Q-00035299
Q91.

If cot A = 3, what is tan A?

Single Answer MCQ
Q-00035300
Q92.

What is the value of sin 30° × cosec 30°?

Single Answer MCQ
Q-00035301
Q93.

Find the value of sec² 30° - tan² 30°.

Single Answer MCQ
Q-00035302
Q94.

What is the angle A if tan A = √3?

Single Answer MCQ
Q-00035303
Q95.

What is the value of sin 30°?

Single Answer MCQ
Q-00035304
Q96.

What is the exact value of sin 60°?

Single Answer MCQ
Q-00035305
Q97.

Which of the following is true about cos 0°?

Single Answer MCQ
Q-00035306
Q98.

If tan θ = 1, what is the value of θ in degrees?

Single Answer MCQ
Q-00035307
Q99.

Which of the following is the formula for sin(A + B)?

Single Answer MCQ
Q-00035308
Q100.

What is the value of cos 60°?

Single Answer MCQ
Q-00035309
Q101.

In triangle ABC, where ∠C is a right angle, with AC = 6 and BC = 8, find the length of AB.

Single Answer MCQ
Q-00035310
Q102.

What is the value of sin² θ + cos² θ?

Single Answer MCQ
Q-00035311
Q103.

If cot θ = 2, what is tan θ?

Single Answer MCQ
Q-00035312
Q104.

If sin A = 1/2, which angle A corresponds to this value?

Single Answer MCQ
Q-00035313
Q105.

What are the possible values of cos 90°?

Single Answer MCQ
Q-00035314
Q106.

What is the relationship between tangent and sine?

Single Answer MCQ
Q-00035315
Q107.

If sin A = 0.5, which of the following could be A?

Single Answer MCQ
Q-00035316
Q108.

An angle in a right triangle has a sine value of 0.6. What is the cosine of that angle?

Single Answer MCQ
Q-00035317
Q109.

Which of the following equations represents the Pythagorean theorem?

Single Answer MCQ
Q-00035318
Q110.

In a right triangle, if the length of the opposite side is 5 and the length of the hypotenuse is 13, what is sin θ?

Single Answer MCQ
Q-00035319
Q111.

If the sine value of an angle increases, what happens to the cosine value of that angle?

Single Answer MCQ
Q-00035320
Q112.

What is the value of sin 30°?

Single Answer MCQ
Q-00035321
Q113.

What is the value of tan 45°?

Single Answer MCQ
Q-00035322
Q114.

If cos 60° = x, what is the value of x?

Single Answer MCQ
Q-00035323
Q115.

What is the value of sin 90°?

Single Answer MCQ
Q-00035324
Q116.

In a right triangle, if one angle is 30°, what is the value of tan 30°?

Single Answer MCQ
Q-00035325
Q117.

Which angle has a cosine value of 1?

Single Answer MCQ
Q-00035326
Q118.

What is sin 60° equal to?

Single Answer MCQ
Q-00035327
Q119.

If sin A = 3/5, what is cos A?

Single Answer MCQ
Q-00035328
Q120.

For which angle is sec θ = 2?

Single Answer MCQ
Q-00035329
Q121.

What is the value of cot 45°?

Single Answer MCQ
Q-00035330
Q122.

If tan 30° = x, what is the value of x?

Single Answer MCQ
Q-00035331
Q123.

If cos A = 1/√2, what is the value of angle A?

Single Answer MCQ
Q-00035332
Q124.

If sin θ = 0, which of the following angles is possible?

Single Answer MCQ
Q-00035333
Q125.

True or False: cot 30° > cot 60°

Single Answer MCQ
Q-00035334
Q126.

What is sin 45° + cos 45°?

Single Answer MCQ
Q-00035335
Q127.

What is the value of sec 0°?

Single Answer MCQ
Q-00035336
Q128.

What is the relationship between sin A and cos (90° - A)?

Single Answer MCQ
Q-00035337
Q129.

If tan A = 1, what is tan (90° - A)?

Single Answer MCQ
Q-00035338
Q130.

Which of the following is correct for the complementary angles A and B?

Single Answer MCQ
Q-00035339
Q131.

What is the value of sin (90° - x) in terms of cos x?

Single Answer MCQ
Q-00035340
Q132.

If sin A = 3/5, what is sin (90° - A)?

Single Answer MCQ
Q-00035341
Q133.

If sin A = 0.6, what is the value of cos (90° - A)?

Single Answer MCQ
Q-00035342
Q134.

Considering the identity for complementary angles, what is cot (90° - A)?

Single Answer MCQ
Q-00035343
Q135.

If tan A = 3/4, then what is cot (90° - A)?

Single Answer MCQ
Q-00035344
Q136.

Which of the following equations holds true for any angle A?

Single Answer MCQ
Q-00035345
Q137.

What is the sum of sin A and sin (90° - A)?

Single Answer MCQ
Q-00035346
Q138.

If cos A = 0.8, what is sin (90° - A)?

Single Answer MCQ
Q-00035347
Q139.

If cos (90° - A) = 0.7, what is the value of sin A?

Single Answer MCQ
Q-00035348
Q140.

What is the value of tan (90° - A) for any angle A?

Single Answer MCQ
Q-00035349
Q141.

If sin C = 0.5, what is the value of cos (90° - C)?

Single Answer MCQ
Q-00035350
Q142.

The secant of angle A relates to which function of its complement?

Single Answer MCQ
Q-00035351
Q143.

Which of the following is a fundamental trigonometric identity?

Single Answer MCQ
Q-00035352
Q144.

What is the value of sec^2 A - tan^2 A?

Single Answer MCQ
Q-00035353
Q145.

If sin A = 3/5, what is the value of cos^2 A?

Single Answer MCQ
Q-00035354
Q146.

Which of the following identities is used to express cotangent in terms of sine and cosine?

Single Answer MCQ
Q-00035355
Q147.

Which trigonometric identity represents the relationship between cosecant and sine?

Single Answer MCQ
Q-00035356
Q148.

What does the identity 1 + tan^2 A = sec^2 A express?

Single Answer MCQ
Q-00035357
Q149.

For which angles A is the secant function undefined?

Single Answer MCQ
Q-00035358
Q150.

What can be inferred if sin^2 A + cos^2 A = k for some constant k?

Single Answer MCQ
Q-00035359
Q151.

What does the identity cot^2 A + 1 = cosec^2 A indicate?

Single Answer MCQ
Q-00035360
Q152.

Which of the following is a true statement of the reciprocal identities?

Single Answer MCQ
Q-00035361
Q153.

If cos A = 0.8, what is the value of sin A using the Pythagorean identity?

Single Answer MCQ
Q-00035362
Q154.

If tan A = 1, what is the value of sec A?

Single Answer MCQ
Q-00035363
Q155.

Prove that sec A (1 - sin A)(sec A + tan A) = 1.

Single Answer MCQ
Q-00035364
Q156.

Which equation can be used to express all trigonometric functions in terms of sine and cosine?

Single Answer MCQ
Q-00035365
Q157.

What is the definition of sin A in a right triangle?

Single Answer MCQ
Q-00035366
Q158.

Which value can never be exceeded by sin A or cos A?

Single Answer MCQ
Q-00035367
Q159.

If tan A is known, which ratio can be easily determined?

Single Answer MCQ
Q-00035368
Q160.

What is the value of tan 45°?

Single Answer MCQ
Q-00035369
Q161.

Which of the following is true for cosec A?

Single Answer MCQ
Q-00035370
Q162.

For which angle is sin A equal to cos A?

Single Answer MCQ
Q-00035371
Q163.

What identity relates sin² A and cos² A?

Single Answer MCQ
Q-00035372
Q164.

What is the correct relationship for sec A?

Single Answer MCQ
Q-00035373
Q165.

What is the value of cosec 30°?

Single Answer MCQ
Q-00035374
Q166.

If cot A = 1, what is the value of A?

Single Answer MCQ
Q-00035375
Q167.

What can be concluded if tan A is undefined?

Single Answer MCQ
Q-00035376
Q168.

Which of the following is always true for trigonometric ratios?

Single Answer MCQ
Q-00035377
Q169.

What is the relationship expressed in cosec² A in terms of cot A?

Single Answer MCQ
Q-00035378
Q170.

Which of the following angles has a tan value of √3?

Single Answer MCQ
Q-00035379

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