Trigonometry Examples

$6 (1 - \cos (x)) = \sin^{2} (x)$

Step 1

Simplify $6 (1 - \cos (x))$ .

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Step 1.1

Apply the distributive property.

$6 \cdot 1 + 6 (- \cos (x)) = \sin^{2} (x)$

Step 1.2

Multiply.

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Step 1.2.1

Multiply $6$ by $1$ .

$6 + 6 (- \cos (x)) = \sin^{2} (x)$

Step 1.2.2

Multiply $- 1$ by $6$ .

$6 - 6 \cos (x) = \sin^{2} (x)$

Step 2

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

$x = 2 π n$ , for any integer $n$

Step 3