WebSolve for ? sin (2x)=1 sin(2x) = 1 sin ( 2 x) = 1 Take the inverse sine of both sides of the equation to extract x x from inside the sine. 2x = arcsin(1) 2 x = arcsin ( 1) Simplify the right side. Tap for more steps... 2x = π 2 2 x = π 2 Divide each term in 2x = π 2 2 x = π 2 by 2 2 and simplify. Tap for more steps... x = π 4 x = π 4 WebFind the general solution of the equation sin 2x+sin 4x +sin 6x =0. Solution The Given equation may be written as (sin 6x+sin 2x)+sin 4x =0 ⇒ 2 sin (6x+2x) 2 cos (6x−2x) 2 +sin4x= 0 [∵ sin C+sin D= 2sin (C+D) 2 cos (C−D) 2] ⇒ 2sin 4x cos 2x+sin 4x= 0 ⇒ sin 4x(2cos 2x+1) = 0 ⇒ sin 4x=0 or 2 cos 2x +1 =0
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WebFind the general solution of the equation sin 2x + sin 4x + sin 6x = 0 Advertisement Remove all ads Solution ( sin 2 x + sin 6 x) + sin 4 x = 0 2 sin 4 x. cos 2 x + sin 4 x = 0 sin 4 x ( 2 cos 2 x + 1) = 0 or sin 4 x = 0 or 2 cos 2 x + 1 = 0 or sin 4 x = 0 or cos 2 x = - 1 2 = - cos π 3 = cos ( π - π 3) Using sin x = 0 ⇒ x = n π sin 4 x = 0 WebFind the general solution of the equation sin 2x + sin 4x + sin 6x = 0 Advertisement Remove all ads Solution ( sin 2 x + sin 6 x) + sin 4 x = 0 2 sin 4 x. cos 2 x + sin 4 x = 0 sin 4 x ( 2 … ati damper hub
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WebFind the general solution of the equation \cos2x-2\tan x+2=0. cos2x− 2tanx+2 = 0. Note that \cos 2x = \frac {1-\tan^ {2} x} {1+\tan^ {2} x}. cos2x = 1+tan2x1−tan2x. Substituting this, the equation has only one variable: \tan x tanx. We evaluate … WebThe Given equation may be written as (sin 6x+sin 2x)+sin 4x =0. Hence, the general solution is given by x= nπ 4 or x =(mπ± π 3), where m, n∈ I. WebWhat is the general solution, in radians, of the equation sin^2x- (1/2) =0? sin^2 x - 1/2 = 0 sin^2 x = 1/2 sin x = ± √ (1/2) = ± √2/2 x = 3.14n ± Arcsin √2/2 x = 3.14n ± 0.783, n any … p mullins jockey