Angles and Trigonometric Functions

Question 1

Which trigonometric expressions equal [image 1] ? Check all that apply.cos(120°) [image 2] sin(–120°) [image 3] [image 4]

Revolt · Accepted Answer

cos(120°); Answer image: //media.edgenuity.com/EVresources/f67578de15f2610b662af88d8bdd9a94.png; Answer image: //media.edgenuity.com/EVresources/5350dd775bb173e6db4774e314a8291f.png

Question 2

Multiplying both sides of the above equations by r, we get that x = r cos(θ) and y = r sin(θ).

Revolt · Accepted Answer

By , cos(θ) = , and by , sin(θ) = .: definition of cosine; By , cos(θ) = , and by , sin(θ) = .: definition of sine; The states that x2 + y2 = r2.: Pythagorean theorem; By , we have[r cos(θ)]2 + [r sin(θ)]2 = r2.: substitution; Applying the , the equation can be written as r2 cos2(θ) + r2 sin2(θ) = r2.: laws of exponents

Question 3

definition of cosine✔ definition of sinePythagorean theorem

Revolt · Accepted Answer

✔ definition of sine

Question 4

definition of cosinedefinition of sine✔ Pythagorean theorem

Revolt · Accepted Answer

✔ Pythagorean theorem

Question 5

multiplicationsimplification✔ substitution

Revolt · Accepted Answer

✔ substitution

Question 6

associative propertydistributive property✔ laws of exponents

Revolt · Accepted Answer

✔ laws of exponents

Angles and Trigonometric Functions Answers

More from this Course

TRY EDGENUITY HACKS