$${{\left( \frac{\cos A+\cos B}{\sin A-\sin B} \right)}^{n}}+{{\left( \frac{\sin A+\sin B}{\cos A-\cos B} \right)}^{n}}$$(n even or odd) =

Question

TuteeHUB · Accepted Answer

$$0$$

TuteeHUB · Answer

$$2{{\tan }^{n}}\frac{A-B}{2}$$

TuteeHUB · Answer

$$2{{\cot }^{n}}\frac{A-B}{2}$$

TuteeHUB · Answer

None of these

1.	\[{{\left( \frac{\cos A+\cos B}{\sin A-\sin B} \right)}^{n}}+{{\left( \frac{\sin A+\sin B}{\cos A-\cos B} \right)}^{n}}\](n even or odd) =
A.	\[2{{\tan }^{n}}\frac{A-B}{2}\]
B.	\[2{{\cot }^{n}}\frac{A-B}{2}\]
C.	\[0\]
D.	None of these
Answer» C. \[0\]

\[{{\left( \frac{\cos A+\cos B}{\sin A-\sin B} \right)}^{n}}+{{\left( \frac{\sin A+\sin B}{\cos A-\cos B} \right)}^{n}}\](n even or odd) =