Trigonometry Examples

$1 - \cos (x) - 2 \sin^{2} (x) = 0$

Step 1

Simplify $1 - \cos (x) - 2 \sin^{2} (x)$ .

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Step 1.1

Move $- 2 \sin^{2} (x)$ .

$1 - 2 \sin^{2} (x) - \cos (x) = 0$

Step 1.2

Apply the cosine double-angle identity.

$\cos (2 x) - \cos (x) = 0$

Step 2

Graph each side of the equation. The solution is the x-value of the point of intersection.

$x = \frac{2 π n}{3}$ , for any integer $n$

Step 3