Basic Math Examples

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

Step 1

Evaluate $\cot (40)$ .

$1.19175359 - \frac{\sin (50)}{\sin (40)}$

Step 2

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

$1.19175359 - (\sin (50) \frac{1}{\sin (40)})$

Step 3

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

$1.19175359 - (\frac{\sin (50)}{1} \cdot \frac{1}{\sin (40)})$

Step 4

Simplify.

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Step 4.1

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

$1.19175359 - (\sin (50) \frac{1}{\sin (40)})$

Step 4.2

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

$1.19175359 - (\sin (50) \csc (40))$

Step 5

Evaluate $\sin (50)$ .

$1.19175359 - (0.76604444 \csc (40))$

Step 6

Evaluate $\csc (40)$ .

$1.19175359 - (0.76604444 \cdot 1.55572382)$

Step 7

Multiply $- (0.76604444 \cdot 1.55572382)$ .

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Step 7.1

Multiply $0.76604444$ by $1.55572382$ .

$1.19175359 - 1 \cdot 1.19175359$

Step 7.2

Multiply $- 1$ by $1.19175359$ .

$1.19175359 - 1.19175359$

Step 8

Subtract $1.19175359$ from $1.19175359$ .

$0$