Trigonometry Examples

$2 (1 - \cos (2 θ)) = \tan (θ)$

Step 1

Simplify $2 (1 - \cos (2 θ))$ .

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Step 1.1

Apply the distributive property.

$2 \cdot 1 + 2 (- \cos (2 θ)) = \tan (θ)$

Step 1.2

Multiply.

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Step 1.2.1

Multiply $2$ by $1$ .

$2 + 2 (- \cos (2 θ)) = \tan (θ)$

Step 1.2.2

Multiply $- 1$ by $2$ .

$2 - 2 \cos (2 θ) = \tan (θ)$

Step 2

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

$θ = π n, \frac{π}{12} + π n, \frac{5 π}{12} + π n$ , for any integer $n$

Step 3