Mark the Correct alternative in the following:
If tan (/4 + x) + tan (/4 – x) = λ sec 2x, then

Question

Mark the Correct alternative in the following: If tan (/4 + x) + tan ( /4 – x) = λ sec 2x, then

Philoid · Accepted Answer

Given equation is

Let us consider LHS

[ using the formulae and ]

[ the value of tan 45° = 1 ]

[using the formulae cos 2x = cos² x – sin² x and cos² x + sin² x = 1]

= 2 sec 2x

Now comparing with the LHS with RHS

From here we can clearly say that the answer is option D.

Mark the Correct alternative in the following:If tan (/4 + x) + tan (/4 – x) = λ sec 2x, then