Trigonometry Examples

$\sin (x) \sec (x) \cot (x)$

Step 1

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

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

Step 2

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

$\frac{\sin (x)}{\cos (x)} \cot (x)$

Step 3

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

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

Step 4

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

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Step 4.1

Cancel the common factor.

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

Step 4.2

Rewrite the expression.

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

Step 5

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

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Step 5.1

Cancel the common factor.

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

Step 5.2

Rewrite the expression.

$1$