D. Find the exact value of each trigonometric expression below. Write your solution and final answer on a separate sheet of paper. 1. sin 345° 2. tan(-105°) 3. sin -165°

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Chapter1: Functions And Models
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D. Find the exact value of each trigonometric expression below. Write your solution
and final answer on a separate sheet of paper.
1. sin 345°
2. tan(-105°)
3. sin-165°
4. 2sin -cos-
6.
6.
E. The pressure P of sound waves on a person's eardrum can be modeled by
2nr
-fcos(프-1100)
P =
%3D
where a is the maximum sound pressure (in pounds per square foot) at the
source, r is the distance (in feet) from the source, I is the length (in feet) of the
sound wave, and t is the time (in seconds). Simplify this formula when r = 16
feet, I = 4 feet, and a = 0.4 pound per square foot.
%3D
Transcribed Image Text:D. Find the exact value of each trigonometric expression below. Write your solution and final answer on a separate sheet of paper. 1. sin 345° 2. tan(-105°) 3. sin-165° 4. 2sin -cos- 6. 6. E. The pressure P of sound waves on a person's eardrum can be modeled by 2nr -fcos(프-1100) P = %3D where a is the maximum sound pressure (in pounds per square foot) at the source, r is the distance (in feet) from the source, I is the length (in feet) of the sound wave, and t is the time (in seconds). Simplify this formula when r = 16 feet, I = 4 feet, and a = 0.4 pound per square foot. %3D
A. Identify whether the given equation is an identity or a conditional equation. Write
your answer on a separate sheet of paper.
1. 3sine + 7sine = 10sine
%3D
2. 5cos0(cos0- 2sine) 5cos02 – 10cosesine
3. 2tane-1 = 3
4. (cose- sine)(cose + sine) = cos20- sin20
B. Simplify each trigonometric expression below. Write your solution and final
answer on a separate sheet of paper.
coS x csC X
1.
tan x
cos? 8
2.
sin? 0
sin? 0
3. cos x (sec x - cos x)
4. 2sin 3cos3
C. Prove each identity below. Write your solution and final answer on a separate
sheet of paper.
1. cos? x = cSC x sin x - sin² x
2. sin y (cot y + tan y) = secy
3. sin (+0) = cos 0
(sin 0+ coso)
4.
= csc20 +1
sin 20
Transcribed Image Text:A. Identify whether the given equation is an identity or a conditional equation. Write your answer on a separate sheet of paper. 1. 3sine + 7sine = 10sine %3D 2. 5cos0(cos0- 2sine) 5cos02 – 10cosesine 3. 2tane-1 = 3 4. (cose- sine)(cose + sine) = cos20- sin20 B. Simplify each trigonometric expression below. Write your solution and final answer on a separate sheet of paper. coS x csC X 1. tan x cos? 8 2. sin? 0 sin? 0 3. cos x (sec x - cos x) 4. 2sin 3cos3 C. Prove each identity below. Write your solution and final answer on a separate sheet of paper. 1. cos? x = cSC x sin x - sin² x 2. sin y (cot y + tan y) = secy 3. sin (+0) = cos 0 (sin 0+ coso) 4. = csc20 +1 sin 20
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