Trigonometric Ratios

7 September 2022
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15 test answers

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question
What is the length of the side opposite
answer
4 units
question
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.
answer
Tomas is correct; AC is opposite ∠B and BC is adjacent to ∠B.
question
Which trigonometric ratios are correct for triangle ABC? Select three options.
answer
sin(C) =root of 3/2 tan(C) =root of 2/3 sin(B) =1/2
question
Given right triangle XYZ, which correctly describes the locations of the sides in relation to ∠Y?
answer
a is adjacent, b is opposite, c is the hypotenuse
question
Which trigonometric ratios are correct for triangle DEF? Select three options.
answer
sin(D) =24/25 tan(D) =24/7 sin(E) =7/25
question
Given right triangle PQR, which represents the value of sin(P)?
answer
RQ/PQ
question
Using the side lengths of â–³PQR and â–³STU, which angle has a sine ratio of 4/5?
answer
∠P
question
Given right triangle JKM, which correctly describes the locations of the sides in relation to ∠J?
answer
a is the hypotenuse, b is adjacent, c is opposite
question
Given right triangle JKL, what is the value of cos(L)?
answer
5/13
question
Given right triangle MNO, which represents the value of cos(M)?
answer
MN/MO
question
Given right triangle DEF, what is the value of sin(E)?
answer
3/5
question
Given right triangle MNL, what is the value of cos(M)?
answer
4/5
question
Given â–³DEF, which is not equal to cos(F)?
answer
tan(F).
question
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?
answer
∠G
question
Given right triangle GYK, what is the value of tan(G)?
answer
root of 3