Trigonometric Identities Question 237
Question: $ {{( \frac{\cos A+\cos B}{\sin A-\sin B} )}^{n}}+{{( \frac{\sin A+\sin B}{\cos A-\cos B} )}^{n}} $ (n even or odd) =
Options:
A) $ 2{{\tan }^{n}}\frac{A-B}{2} $
B) $ 2{{\cot }^{n}}\frac{A-B}{2} $
C) $ 0 $
D) None of these
Show Answer
Answer:
Correct Answer: B
Solution:
The expression reduces to $ {{\cot }^{n}}\frac{A-B}{2}+{{\cot }^{n}}\frac{B-A}{2} $ If n is even, answer is (b) and if n is odd answer is (c).
BETA
