In Exercises 1 4, verify the identity 1 cos(n ) (1)n cos , n is an integer 2 sin(n ) (1)n sin , n is an integer 3 a sin B b cos B a2 b2 sin(B C), where C arctan(b a) and a 0 4 a sin B b cos B a2 b2 cos(B C), where C arctan(a b) and b 0 ...

1 cosn cos n cos sin n sin 1 n cos 0sin 1 n cos where n is an ...

In Exercises 1-4, verify the identity. 1. cos(n + ) = (1)n cos , n is an

Question:

In Exercises 1-4, verify the identity.
1. cos(nπ + Θ) = (−1)n cos Θ, n is an integer
2. sin(nπ + Θ) = (−1)n sin Θ, n is an integer
3. a sin BΘ + b cos BΘ = √a2 + b2 sin(BΘ + C), where C = arctan(b / a) and a > 0
4. a sin BΘ + b cos BΘ = √a2 + b2 cos(BΘ − C), where C = arctan(a / b) and b > 0