Question

The question below has two statements, I and Impark your answer as
If y = 2x, then
I. sin y = 2 tan x/(1 + tan2x)
II. cos y = 2 tan x/(1 - tan2x)

• A. Statement I is True, but not the other one.
• B. Statement II is True, but not the other one.
• C. Both the statements are True.
• D. Neither of the statements is True.

Answer 1

Answer: (A)

Statement I is True, but not the other one.

Answer 2

For this question we have to say that,
$\sin(2\theta) = \frac{2 \tan \theta}{1 + \tan^2 \theta}$
and for cos,
$\cos(2\theta) = \frac{1 - \tan^2 \theta}{1 + \tan^2 \theta}$
From question we know that,
$y = 2x$
then only I statement will be True
The correct option is (A)