Trigonometry Examples

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

Step 1

Simplify each term.

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Step 1.1

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

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

Step 1.2

Multiply $- 1$ by $1$ .

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

Step 1.3

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

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

Step 2

Simplify each term.

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Step 2.1

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

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

Step 2.2

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

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