Trigonometry Examples

$\cot (20) - \frac{\cos (20)}{\sin (- 340)}$

Step 1

Rewrite $\cot (20)$ in terms of sines and cosines.

$\frac{\cos (20)}{\sin (20)} - \frac{\cos (20)}{\sin (- 340)}$

Step 2

Simplify each term.

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Step 2.1

Convert from $\frac{\cos (20)}{\sin (20)}$ to $\cot (20)$ .

$\cot (20) - \frac{\cos (20)}{\sin (- 340)}$

Step 2.2

Rewrite $\frac{\cos (20)}{\sin (- 340)}$ as a product.

$\cot (20) - (\cos (20) \frac{1}{\sin (- 340)})$

Step 2.3

Write $\cos (20)$ as a fraction with denominator $1$ .

$\cot (20) - (\frac{\cos (20)}{1} \cdot \frac{1}{\sin (- 340)})$

Step 2.4

Simplify.

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Step 2.4.1

Divide $\cos (20)$ by $1$ .

$\cot (20) - (\cos (20) \frac{1}{\sin (- 340)})$

Step 2.4.2

Convert from $\frac{1}{\sin (- 340)}$ to $\csc (- 340)$ .

$\cot (20) - (\cos (20) \csc (- 340))$

$\cot (20) - \cos (20) \csc (- 340)$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\cot (20) - \cos (20) \csc (- 340)$

Decimal Form:

$- 3.55271367 \cdot 10^{- 15}$