Trigonometry Examples

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

Step 1

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

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Step 1.1

Apply pythagorean identity.

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

Step 1.2

Pull terms out from under the radical, assuming positive real numbers.

$\sin (x) = \sin (x)$

Step 2

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

$x \approx 0, \frac{1}{5}, 0.3, \frac{2}{5}, \frac{1}{2}, \frac{4}{5}, 0.9$

Step 3