Question

RHS IS COT4A PLEASE SOLVE ITS URGENT​

Answer 1

Answer:

Step-by-step 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.