Trigonometry Examples

$\cot (40) - \frac{\sin (50)}{\sin (40)}$

Step 1

Rewrite $\cot (40)$ in terms of sines and cosines.

$\frac{\cos (40)}{\sin (40)} - \frac{\sin (50)}{\sin (40)}$

Step 2

Simplify each term.

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Step 2.1

Convert from $\frac{\cos (40)}{\sin (40)}$ to $\cot (40)$ .

$\cot (40) - \frac{\sin (50)}{\sin (40)}$

Step 2.2

Rewrite $\frac{\sin (50)}{\sin (40)}$ as a product.

$\cot (40) - (\sin (50) \frac{1}{\sin (40)})$

Step 2.3

Write $\sin (50)$ as a fraction with denominator $1$ .

$\cot (40) - (\frac{\sin (50)}{1} \cdot \frac{1}{\sin (40)})$

Step 2.4

Simplify.

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Step 2.4.1

Divide $\sin (50)$ by $1$ .

$\cot (40) - (\sin (50) \frac{1}{\sin (40)})$

Step 2.4.2

Convert from $\frac{1}{\sin (40)}$ to $\csc (40)$ .

$\cot (40) - (\sin (50) \csc (40))$

$\cot (40) - \sin (50) \csc (40)$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\cot (40) - \sin (50) \csc (40)$

Decimal Form:

$1.77635683 \cdot 10^{- 15}$