Question

# Use trigonometric identities to transform the left side of the equation into the right side.tan θ cot θ = 1

Trigonometric Functions

Use trigonometric identities to transform the left side of the equation into the right side.
$$\tan \theta \cot \theta = 1$$

2021-06-02

Use the reciprocal identity: $$\cot \theta=\frac{1}{\tan \theta}$$

$$\tan \theta \cot \theta=\tan \theta \times \frac{1}{\tan \theta}$$

Cancel common factors: $$\tan \theta \cot \theta=1\times(\frac{1}{1})$$

$$\tan \theta \cot \theta=1$$