Q. 19

# Mark the Correct alternative in the following:If tan (/4 + x) + tan (/4 – x) = λ sec 2x, thenA.3B. 4C. 1D. 2

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.

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