Trigonometry Examples

$1 + \sin (x) \sec (x) - \tan (x)$

Step 1

Simplify each term.

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Step 1.1

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

$1 + \sin (x) \frac{1}{\cos (x)} - \tan (x)$

Step 1.2

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

$1 + \frac{\sin (x)}{\cos (x)} - \tan (x)$

Step 1.3

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

$1 + \frac{\sin (x)}{\cos (x)} - \frac{\sin (x)}{\cos (x)}$

Step 2

Combine the opposite terms in $1 + \frac{\sin (x)}{\cos (x)} - \frac{\sin (x)}{\cos (x)}$ .

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Step 2.1

Subtract $\frac{\sin (x)}{\cos (x)}$ from $\frac{\sin (x)}{\cos (x)}$ .

$1 + 0$

Step 2.2

Add $1$ and $0$ .

$1$