1. 5-4: Trig Identities Name:_________________ Hour: ________
Pre-Calculus
5-4: Trig Identities
Name:_________________
Hour: ________
#’s I had trouble with: _________________
Use the given function value(s) and the trig identities to find the exact value of each indicated trig function.
1) cos 𝜃= ) cot 𝛼=3
a) sin 𝜃 a) tan 𝛼
b) tan 𝜃 b) csc 𝛼
c) sec 𝜃 c) cot 90°−𝜃
d) csc 90°−𝜃 d) sin 𝛼
Use trig identities to verify the identities.
3) tan 𝜃 cot 𝜃= ) tan 𝛼 cos 𝛼 = sin 𝛼
5) 1+ sin 𝜃 1− sin 𝜃 = 𝑐𝑜𝑠 2 𝜃 ) 𝑠𝑖𝑛 2 𝜃 − 𝑐𝑜𝑠 2 𝜃=2 𝑠𝑖𝑛 2 𝜃−1
Find ϴ
7) sin 15° 24 ′ 45”= cos 𝜃
8) csc 5𝜋 12 = sec 𝜃
9) Explain this math pun.