The solution of the equation sin ⁡ 2 x + cos ⁡ 2 x = 0 , where π x 2 π are

Question

The solution of the equation sin ⁡ 2 x + cos ⁡ 2 x = 0 , where π x 2 π are, 7 π 8 , 11 π 8, 9 π 8 , 13 π 8,  11 π 8 , 15 π 8, 15 π 8 , 19 π 8

MARKS App · Accepted Answer

Given, sin ⁡ 2 x + cos ⁡ 2 x = 0 . Multiplying by 1 2 on both side, ∴ 1 2 sin ⁡ 2 x + 1 2 cos ⁡ 2 x = 0 ⇒ sin ⁡ π 4 + 2 x = 0 ⇒ 2 x + π 4 = n π ⇒ x = 4 n - 1 π 8 ∴ x = 11 π 8 a n d 15 π 8

Search any question & find its solution

Looking for more such questions to practice?