Question

RHS IS COT4A PLEASE SOLVE ITS URGENT​

Answer 1

Explanation:

If the R.H.S. is cot(4A), given question is misprinted.

It should be,

`\frac{1}{\text{tan3A+tanA}}-\frac{1}{\text{cot3A+cotA}}`

=
`\frac{1}{\text{tan3A+tanA}}-\frac{1}{{\frac{1}{\text{tan3A}}+\frac{1}{\text{tanA}}}}`

=
`\frac{1}{\text{tan3A+tanA}}-\frac{1}{\frac{\text{tanA+tan3A}}{\text{tanAtan3A}}}`

=
`\frac{1-\text{tanAtan3A}}{\text{tanA+tan3A}}`

=
`\frac{1}{\text{tan}(A+3A)}`

= cot(4A) [R.H.S.]

Hence proved.