Trigonometry Examples

$\tan (90) = \frac{1}{\cot (90)}$

Step 1

Subtract $\frac{1}{\cot (90)}$ from both sides of the equation.

$\tan (90) - \frac{1}{\cot (90)} = 0$

Step 2

Simplify $\tan (90) - \frac{1}{\cot (90)}$ .

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Step 2.1

Rewrite $\tan (90)$ in terms of sines and cosines.

$\frac{\sin (90)}{\cos (90)} - \frac{1}{\cot (90)} = 0$

Step 2.2

The exact value of $\cos (90)$ is $0$ .

$\frac{\sin (90)}{0} - \frac{1}{\cot (90)} = 0$

Step 3

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.