Trigonometry Examples

$\sec (θ) \cdot \sin (θ) = \tan (θ)$

Step 1

Simplify $\sec (θ) \cdot \sin (θ)$ .

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Step 1.1

Rewrite $\sec (θ)$ in terms of sines and cosines.

$\frac{1}{\cos (θ)} \cdot \sin (θ) = \tan (θ)$

Step 1.2

Combine $\frac{1}{\cos (θ)}$ and $\sin (θ)$ .

$\frac{\sin (θ)}{\cos (θ)} = \tan (θ)$

Step 1.3

Convert from $\frac{\sin (θ)}{\cos (θ)}$ to $\tan (θ)$ .

$\tan (θ) = \tan (θ)$

Step 2

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

$θ \approx 0, - 0.1, 0.1, - 0.3, 0.3, - \frac{2}{5}, \frac{2}{5}$

Step 3