The solution of the equation sin 2 ⁡ x + cos 2 ⁡ 3 x = 1 is

Question

The solution of the equation sin 2 ⁡ x + cos 2 ⁡ 3 x = 1 is, x = n π 3, x = n π + π 4, x = n π 4, x = n π + π 2

MARKS App · Accepted Answer

sin 2 ⁡ x = 1 - cos 2 ⁡ 3 x = sin 2 ⁡ 3 x sin 2 ⁡ 3 x - sin 2 ⁡ x = 0 sin ⁡ 4 x sin ⁡ 2 x = 0 sin ⁡ 2 x = 0 ⇒ 2 x = n π ⇒ x = n π 2 or sin ⁡ 4 x = 0 ⇒ 4 x = n π ⇒ x = n π 4 ⇒ x = n π 4

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