Find the principal solution of sin x + sin 3x +sin 5x = 0

$x = 0$

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$x = \frac{π}{6}$

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$x = \frac{π}{3}$

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$x = \frac{π}{2}$

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Solution

The correct options are
A
$x = 0$

C
$x = \frac{π}{3}$

$s i n x + s i n 3 x + s i n 5 x = 0 (s i n x + s i n 5 x) + s i n 3 x = 0 2 s i n 3 x c o s 2 x + s i n 3 x = 0 s i n 3 x (2 c o s 2 x + 1) = 0 s i n 3 x = 0 o r c o s 2 x = - \frac{1}{2} 3 x = 0 o r 2 x = \frac{2 π}{3} x = 0 o r x = \frac{π}{3}$

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Similar questions

s i n x + s i n 3 x + s i n 5 x = 0

sin x + sin 3 x + sin 5 x = 0

sin x + sin 3 x + sin 5 x = 0

sin 5 x + sin 3 x + sin x = 0

0 \leq x \leq π

sin 5 x + sin 3 x + sin x = 0

0 \leq x \leq π

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