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

The Correct Option is A

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)