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

Question 7

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: //media.edgenuity.com/EVresources/962113fcdaa521093975a91aa86eb6ac.png

Question 8

Given [image 1] and [image 2] , use trigonometric identities to find the the value of cot(30°).

Revolt · Accepted Answer

Answer image: //media.edgenuity.com/EVresources/729e0633cc9f9d986590703a40352d87.png

Question 9

Given Sine (t) = StartFraction 7 Over 25 EndFraction for StartFraction pi Over 2 EndFraction less-than t less-than pi , what is cos(t)?

Revolt · Accepted Answer

Answer image: //media.edgenuity.com/EVresources/11d203817ece8e41f821553fe4f64f5d.png

Question 10

A bicycle wheel with diameter 16 inches rides over a screw in the street. The screw is on level ground before it punctures the bike’s tire. After the bike has moved forward another 56π inches, how high above the ground is the screw? Round to the nearest tenth of an inch.

Revolt · Accepted Answer

16 inches

Angles and Trigonometric Functions Answers

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