Calculus Examples

$\cot (20) - \frac{\sin (70)}{\sin (70)}$

Step 1

Simplify each term.

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Step 1.1

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

$\frac{\cos (20)}{\sin (20)} - \frac{\sin (70)}{\sin (70)}$

Step 1.2

Cancel the common factor of $\sin (70)$ .

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Step 1.2.1

Cancel the common factor.

$\frac{\cos (20)}{\sin (20)} - \frac{\sin (70)}{\sin (70)}$

Step 1.2.2

Rewrite the expression.

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

Step 1.3

Multiply $- 1$ by $1$ .

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

Step 2

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

$\cot (20) - 1$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\cot (20) - 1$

Decimal Form:

$1.74747741 \dots$