Trigonometry Examples

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

Step 1

Apply the cosine double-angle identity.

$\cos^{2} (2 x) = 2 \sin (x) \cdot \cos (x)$

Step 2

Apply the sine double-angle identity.

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

Step 3

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

$x \approx 0.33311971 + π n, 1.23767661 + π n$ , for any integer $n$

Step 4