LAB 3 (Group): Trig Identity (half, double, sum, dif). This is link to submit your work.

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MAT 172 LAB 3.
Trig Identities
(half, double angles; sum, dif of angles)
Part1. Use an addition or subtraction formula to find the exact value of the expression:
1. sin 15 ?
? 7? ?
2. tan?
?
? 12 ?
Part 2. Use an addition or subtraction formula to write the expression as a trigonometric function of one
angle, and then find its exact value:
3. cos 10 ? cos 80 ? ? sin 10 ? sin 80 ?
? 13? ? ? ? ?
? 13? ? ? ? ?
4. sin ?
? cos? ? ? + cos?
? sin ? ? ?
? 15 ? ? 5 ?
? 15 ? ? 5 ?
5.
tan 37 ? + tan 83?
1 ? tan 37 ? tan 83?
Part 3. Prove the identity:
??
?
6. csc? ? u ? = sec u
?2
?
7. cos(x + y ) + cos( x ? y ) = 2 cos x cos y
8. 1 ? tan x tan y =
cos(x + y )
cos x cos y

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