Question

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

Trigonometric Functions
ANSWERED
asked 2021-06-01

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

Expert Answers (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: \(\tan \theta \cot \theta=1\times(\frac{1}{1})\)

\(\tan \theta \cot \theta=1\)

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