Trigonometry Examples

$\tan^{- 2} (1)$

Step 1

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{1}{\tan^{2} (1)}$

Step 2

Rewrite $1$ as $1^{2}$ .

$\frac{1^{2}}{\tan^{2} (1)}$

Step 3

Rewrite $\frac{1^{2}}{\tan^{2} (1)}$ as ${(\frac{1}{\tan (1)})}^{2}$ .

${(\frac{1}{\tan (1)})}^{2}$

Step 4

Rewrite $\tan (1)$ in terms of sines and cosines.

${(\frac{1}{\frac{\sin (1)}{\cos (1)}})}^{2}$

Step 5

Multiply by the reciprocal of the fraction to divide by $\frac{\sin (1)}{\cos (1)}$ .

${(\frac{\cos (1)}{\sin (1)})}^{2}$

Step 6

Convert from $\frac{\cos (1)}{\sin (1)}$ to $\cot (1)$ .

$\cot^{2} (1)$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\cot^{2} (1)$

Decimal Form:

$3282.13970365 \dots$