Q. 12

# Mark the Correct alternative in the following:The value of isA.1B. 2C. 3D. 4

Given to find the value of

We will solve the expression in two parts,

Now solving 1st term

If we multiply and divide the term by 2, we get,

[using the formula for and ]

----- (1)

Solving the 2nd term

[using the formula for ]

1 – 2 tan x cot 2x = 1 – ( 1 – tan2x)

= 1 – 1 + tan2x

1 – 2 tan x cot 2x = tan2 x ----- (2)

Now by combining (1) and (2) we get,

Hence the answer is option D.

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