Solve tan alpha cot alpha 1

Evaluate

tan (α) cot (α) \times 1

Multiply the terms

tan (α) cot (α)

Use tan t = \frac{sin t}{cos t} to transform the expression

\frac{sin ( α )}{cos ( α )} \times cot (α)

Use cot t = \frac{cos t}{sin t} to transform the expression

\frac{sin ( α )}{cos ( α )} \times \frac{cos ( α )}{sin ( α )}

Cancel out the common factor sin (α)

\frac{1}{cos ( α )} \times cos (α)

Cancel out the common factor cos (α)

1 \times 1

Solution

1

Simplify the expression