Flash Cards
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What is Trigonometry?
Trigonometry is the study of relationships between the sides and angles of triangles, especially right triangles.
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What does the term 'sine' mean?
The sine of an angle is the ratio of the length of the opposite side to the hypotenuse in a right triangle.
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Define 'cosine'.
Cosine of an angle is the ratio of the length of the adjacent side to the hypotenuse in a right triangle.
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What is 'tangent'?
Tangent of an angle is the ratio of the length of the opposite side to the adjacent side in a right triangle.
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State the sine formula.
sin A = (length of opposite side) / (length of hypotenuse)
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State the cosine formula.
cos A = (length of adjacent side) / (length of hypotenuse)
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What is the tangent formula?
tan A = (length of opposite side) / (length of adjacent side)
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What is cosecant?
Cosecant (csc A) is the reciprocal of sine: csc A = 1/sin A.
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Define secant.
Secant (sec A) is the reciprocal of cosine: sec A = 1/cos A.
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What is cotangent?
Cotangent (cot A) is the reciprocal of tangent: cot A = 1/tan A.
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What is a right triangle?
A right triangle has one angle measuring 90 degrees.
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What is the significance of 30°, 45°, and 60° in trigonometry?
These angles have specific sine, cosine, and tangent values that are frequently used in calculations.
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How do you find the other trigonometric ratios if one is known?
If one ratio is known, you can use the relationships between ratios to find the others.
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What is the Pythagorean identity?
The Pythagorean identity states sin²A + cos²A = 1 for any angle A.
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What's the value of sin 0°?
sin 0° = 0
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What's the value of cos 0°?
cos 0° = 1
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What is the value of tan 45°?
tan 45° = 1
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What is the relationship between sin and cos?
sin A = cos (90° - A) and cos A = sin (90° - A).
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Define 'trigonometric ratios'.
Trigonometric ratios are the ratios of the lengths of the sides of a right triangle corresponding to its angles.
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What is a common mistake in using trigonometric ratios?
Confusing sine, cosine, and tangent, or not distinguishing between angle measures and side lengths.
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What is the reciprocal relationship of tan, cot, sin, and cos?
tan A = sin A / cos A and cot A = cos A / sin A.
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