Use the sum/difference formula to find the exact value of the following.

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snx187

Mathematics

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These are the questions please give the answer with the steps how did you get it :

1. Use the sum/difference formula to find the exact value of the following.

a) cos 11π/12

b) tan 165◦


2. Evaluate cos(θ − φ), where cos θ = 7/25 with θ in Quadrant IV, and tan φ = −√3 with φ in Quadrant II. 


3. Given that tanθ = 1/−3, and cosθ > 0, find sin2θ, cos2θ, and tan2θ.


4. Use the appropriate Half-Angle Formula to find the exact value of each expression.

a) sin 15◦

b) sin 157.5◦

c) cos 11π/8


5. Find the general solution of cos θ = − 1/2 


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