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CBSE
Class 10
Mathematics
Mathematics
Introduction to Trigonometry
Question Bank

Question Bank - Introduction t...

Question Bank: Introduction to Trigonometry

Explore the basics of trigonometry, including angles, triangles, and the fundamental trigonometric ratios: sine, cosine, and tangent.

Question Bank - Introduction to Trigonometry

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

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