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General Solutions of (sin theta)^2 = (sin alpha)^2 , (cos theta)^2 = (cos alpha)^2 , (tan theta)^2 = (tan alpha)^2

The no of sol...

Question

The no of solution of the equation: $1 + sin x cos x = 2 sin x cos x$ in $x$ , $[0, 40]$ are

4

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5

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7

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N o n e o f t h e s e

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Solution

The correct option is D $N o n e o f t h e s e$
$1 + s i n x c o s x = 2 s i n x c o s x$
$x ϵ [0, 40]$
$1 = \frac{2}{2} s i n x c o s x$
$[∵ 2 s i n x c o s x - s i n 2 x]$
$2 = s i n 2 x .$
$2 x = \frac{1}{2} s i n^{- 1} (2)$
$x = \frac{1}{2} s i n^{- 1} (2)$

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