Question

The value of $\tan \theta \cdot \tan (90-\theta )$ is equal to

• A. ${\sin }^2\theta$
• B. $1$
• C. ${\cos }^2\theta$
• D. $0$

Answer 1

Answer: (B)

$1$

$\tan (90-\theta )=\cot \theta$
and $\tan \theta \cdot \cot \theta =\tan \theta \times \frac{1}{\tan \theta }=1$