Trigonometry Examples

$\frac{\sec (x) \sin (x)}{\sin (x)} = 0$

Step 1

Simplify $\frac{\sec (x) \sin (x)}{\sin (x)}$ .

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Step 1.1

Cancel the common factor of $\sin (x)$ .

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Step 1.1.1

Cancel the common factor.

$\frac{\sec (x) \sin (x)}{\sin (x)} = 0$

Step 1.1.2

Divide $\sec (x)$ by $1$ .

$\sec (x) = 0$

Step 1.2

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

$\frac{1}{\cos (x)} = 0$

Step 1.3

Convert from $\frac{1}{\cos (x)}$ to $\sec (x)$ .

$\sec (x) = 0$

Step 2

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

No solution

Step 3