Subtract cos(x) cos (x) from both sides of the equation. sin(2x)−cos(x) = 0 sin (2 x) - cos (x) = 0. Apply the sine double - angle identity. 2sin(x)cos(x)−cos(x) = 0 2 sin (x) cos (x) - cos (x) = 0. …

2sin(x)cos(x) cos(x) 2 sin (x) cos (x) cos (x) Cancel the common factor of cos(x) cos (x). Tap for more steps... Free math problem solver answers your algebra, geometry, trigonometry, …

The general solution for sin(2x)=cos(x) is x= pi/2+2pin,x=(3pi)/2+2pin,x= pi/6+2pin,x=(5pi)/6+2pin

In mathematics, an "identity" is an equation which is always true, regardless of the specific value of a given variable. An identity can be "trivially" true, such as the equation x = x or an identity …

Set 2sin2(x)−1 2 sin 2 (x) - 1 equal to 0 0 and solve for x x. Tap for more steps... The final solution is all the values that make cos(x)(2sin2(x)− 1) = 0 cos (x) (2 sin 2 (x) - 1) = 0 true. Consolidate …

Statement: $$\sin(2x) = 2\sin(x)\cos(x)$$ Proof: The Angle Addition Formula for sine can be used: $$\sin(2x) = \sin(x + x) = \sin(x)\cos(x) + \cos(x)\sin(x) = 2\sin(x)\cos(x)$$

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Hint: \sin (2x)=2 \sin x \cos x so your equation becomes : 2\sin x \cos x + \cos x=0 \iff \cos x(2\sin x+1)=0

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Mar 19, 2020 · How to solve a trigonometric equation after applying a trig identity.Free trigonometry notes and cheat sheets at: https://trigcheatsheet.comWatch more trig v...