Trigonometry Examples

$\sec (x) \cdot \frac{\sin (x)}{\tan (x)}$

Step 1

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

$\sec (x) \cdot \frac{\sin (x)}{\frac{\sin (x)}{\cos (x)}}$

Step 2

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

$\frac{1}{\cos (x)} \cdot \frac{\sin (x)}{\frac{\sin (x)}{\cos (x)}}$

Step 3

Multiply the numerator by the reciprocal of the denominator.

$\frac{1}{\cos (x)} \cdot (\sin (x) \frac{\cos (x)}{\sin (x)})$

Step 4

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

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Step 4.1

Cancel the common factor.

$\frac{1}{\cos (x)} \cdot (\sin (x) \frac{\cos (x)}{\sin (x)})$

Step 4.2

Rewrite the expression.

$\frac{1}{\cos (x)} \cdot \cos (x)$

Step 5

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

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Step 5.1

Cancel the common factor.

$\frac{1}{\cos (x)} \cdot \cos (x)$

Step 5.2

Rewrite the expression.

$1$