Question
Question: \[\frac{1}{\tan 3A - \tan A} - \frac{1}{\cot 3A - \cot A} =\]...
tan3A−tanA1−cot3A−cotA1=
A
tanA
B
tan2A
C
cotA
D
cot2A
Answer
cot2A
Explanation
Solution
tan3A−tanA1−cot3A−cotA1
=tan3A−tanA1+tan3A−tanAtanAtan3A=tan2A1=cot2A.