Question

tanA+2tan2A+4cot4A=cotA prove it

Answer 1

HERE IS THE SOLUTION;

◆Start this problem from the right end of the LHS

 

2tan2A+4cot4A

= 2tan2A+4/tan4A

= 2tan2A + 2(1-tan22A)/(tan2A)

= 2/tan2A

◆So,

tanA+2tan2A+4cot4A

= tanA + 2/tan2A

= tanA + (1-tan2A)/tanA

= 1/tanA = cotA.


HENCE PROVED.



HOPE IT HELPS