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Take Home Assignment: Trig Identities
1. Use an appropriate compound angle formula to evaluate the following as an exact value. Show ALL
your work to earn full marks.
11𝜋
𝑎) 𝑠𝑖𝑛 12
[8KAC]
b)
19𝜋
𝑡𝑎𝑛 12
2. Use an appropriate compound angle formula to express as a single trig function.
Then evaluate the following as an exact value.
𝑐𝑜𝑠
3𝜋
𝜋
3𝜋
𝜋
𝑐𝑜𝑠 − 𝑠𝑖𝑛
𝑠𝑖𝑛
8
8
8
8
3. Determine the exact value of sin 2 , given cos 
work to earn full marks. [4KAC]
[4 KAC]
5
3
and    
. Show all your
13
2