Trigonometric ratios problems with answers

    • What are the primary trigonometric ratios?

      Note: a useful way to remember the primary trig ratios is the acronym SOH CAH TOA. In addition to the primary trigonometric ratios, there are 3 reciprocal trigonometric ratios: cosecant (csc), secant (sec) and cotangent (cot). = 3, b = 4, and c = 5. Express the lengths a, b, c and d in terms of trigonometric ratios of θ.

    • How do you solve a trigonometric equation with a rational denominator?

      Give an exact answer with a rational denominator. Find cot Ό. Use the given triangles to evaluate the expression. Rationalize all denominators. Use the definition or identities to find the exact value of the indicated trigonometric function of the acute angle Ό. Find csc Ό. Find sin Ό and cos Ό. Find sin Ό and tan Ό. Find sin Ό. SHORT ANSWER.

    • What if a trigonometric ratio is correct to 4 decimal places?

      Surprisingly, a value of the trigonometric ratio correct to 4 decimal places can still give an angle that is not correct to 3 decimal places! 4 .2 to 4 decimal places (0 .9524), the angle obtained (17.749) would not even be correct to 3 decimal place (17 .753◦).

    • How do you express lengths a B C and D in trigonometric ratios?

      Express the lengths a, b, c and d in terms of trigonometric ratios of θ. Refer to the figure below. Side a is located opposite angle θ in the smaller triangle. The hypotenuse of the smaller opp triangle hyp a 1, is equal to 1 (since it’s the radius of the circle). Thus, sinθ = = which is simplified to a = sinθ.

    • [PDF File]Trigonometric Ratios Date Period - Kuta Software

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      Trigonometric Ratios Date_____ Period____ Find the value of each trigonometric ratio. 1) tan Z 28 21 35 Z Y X 3 4 2) cos C 16 34 30 C B A 8 17 3) sin C 21 28 35 C B A 4 5 4) tan X 24 32 40 X Y Z 4 3 5) cos A 30 16 34 A B C 15 17 6) sin A 24 32 40 A C B 4 5 7) sin Z 32 24 40 Z Y X 3 5 8) sin C 48 14 50 C B A 7 25 9) cos Z 24 18 30 Z Y X 4 5 10 ...

    • [PDF File]Trigonometric Ratios - George Brown College

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      Solution: sinθ = cosθ = b c = = 0.8 4 5 = 3 = 0.6 = tanθ = a cscθ = = secθ = a = cotθ = = 5 4 = 1.25 5 3 3 4 = 0.75 Example 2: Express the lengths a, b, c and d in terms of trigonometric ratios of θ. Refer to the figure below.

    • [PDF File]Supplementary Trigonometry Exercise Problems

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      The Trigonometric Ratios MULTIPLE CHOICE. Find the value of the indicated trigonometric function of the angle Ό in the figure. Give an exact answer with a rational denominator. Find cot Ό. Use the given triangles to evaluate the expression. Rationalize all denominators. 8) tan 30° 9) csc 60° 10) tan 45° 11) cot 60° 12) sec 45° 13) 1 -

    • [PDF File]Finding Trigonometric Ratios - Kuta Software

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      Finding Trigonometric Ratios Date_____ Period____ Find the value of each trigonometric ratio to the nearest ten-thousandth. 1) tan A 16 34 30 A B C 1.8750 2) cos C 12 9 15 C B A 0.8000 3) sin Z 16 12 20 Z Y X 0.6000 4) sin C 40 30 50 C B A 0.6000 5) sin C 14 50 48 C B A 0.9600 6) sin C 48 14 50 C B A 0.2800 7) cos A 3 5 4 A B C 0.6000 8) cos X ...

    • [PDF File]RIGHT TRIANGLE TRIGONOMETRY - University of Houston

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      . Special Right Triangles In Trigonometry, we frequently deal with angle measures that are multiples of 30o, 45o, and 60o. Because of this fact, there are two special right triangles which are useful to us as we begin our study of Trigonometry.

    • [PDF File]Trigonometry - Cambridge University Press & Assessment

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      3 Find the values of the following trigonometric ratios, correct to 4 decimal places. a sin27 b cos43 c tan62 d cos79 e tan14 f sin81 g cos17 h tan48 i sin80 j sin49.8 k tan80.2 l cos85.7 7.2 Finding an unknown side in a right-angled triangle The trigonometric ratios can be used to find unknown sides in a right-angled triangle, given an angle ...

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