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Basic Trigonometric Identities

Solve for x...

Question

Solve for $x$ :- $s i n x c o s x = 0$

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Solution

$s i n x c o s x = 0$
$⟹ \frac{sin 2 x}{2} = 0$
$⟹ sin 2 x = 0$
$⟹ 2 x = n π, n \in Z$
$⟹ x = \frac{n π}{2}, n \in Z$

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