Angles and Trigonometric Functions

Question 1

Which trigonometric expressions equal ? Check all that apply.

Revolt · Accepted Answer

cos(120°); Sine (StartFraction 7 pi Over 6 EndFraction); Cosine (negative StartFraction 10 pi Over 3 EndFraction)

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

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