Angles and Trigonometric Functions

Question 1

Which trigonometric values equal 0? Check all that apply.sin(3π)cos(–360°)tan(900°)cot(0°)

Revolt · Accepted Answer

sin(3π); tan(900°); Answer image: https://r07.core.learn.edgenuity.com//media.edgenuity.com/EVresources/962113fcdaa521093975a91aa86eb6ac.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

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definition of sine

Question 4

definition of cosinedefinition of sine✔ Pythagorean theorem

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Pythagorean theorem

Question 5

multiplicationsimplification✔ substitution

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substitution

Question 6

associative propertydistributive property✔ laws of exponents

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laws of exponents

Angles and Trigonometric Functions Answers

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