Trigonometric Ratios

Given right triangle GYK, what is the value of tan(G)?

root of 3

Given right triangle JKL, what is the value of cos(L)?

5/13

What is the length of the side opposite <B?

4 units

Given right triangle MNL, what is the value of cos(M)?

4/5

Julian describes an angle in the triangle using these statements. GH is the adjacent side. HK is the opposite side. GK is the hypotenuse. Which angle(s) is Julian describing?

∠G

Using the side lengths of △PQR and △STU, which angle has a sine ratio of 4/5?

∠P

Which trigonometric ratios are correct for triangle DEF? Select three options.

sin(D) =24/25 tan(D) =24/7 sin(E) =7/25

Given △DEF, which is not equal to cos(F)?

tan(F).

Given right triangle PQR, which represents the value of sin(P)?

RQ/PQ

Given right triangle DEF, what is the value of sin(E)?

3/5

Given right triangle MNO, which represents the value of cos(M)?

MN/MO

Given right triangle XYZ, which correctly describes the locations of the sides in relation to ∠Y?

a is adjacent, b is opposite, c is the hypotenuse

Given right triangle JKM, which correctly describes the locations of the sides in relation to ∠J?

a is the hypotenuse, b is adjacent, c is opposite

Two students describe the sides of right triangle ABC in relation to ∠B. Tomas AB is the hypotenuse. AC is the opposite side. BC is the adjacent side. Iliana AB is the hypotenuse. BC is the opposite side. AC is the adjacent side. Who is correct? Explain.

Tomas is correct; AC is opposite ∠B and BC is adjacent to ∠B.

Which trigonometric ratios are correct for triangle ABC? Select three options.

sin(C) =root of 3/2 tan(C) =root of 2/3 sin(B) =1/2