Question

Find the value of $tan\theta \times cot\theta$ where $\theta$ is an acute angle.

• A. 0.0
• B. 1
• C. 2
• D. -1

Answer 1

The correct option is B 1

Given:
$tan\theta \times cot\theta$

We know that,$tan\theta =\frac{sin\theta }{cos\theta }$ and $cot\theta =\frac{cos\theta }{sin\theta }$.
By substituting these in the given expression, we get,

$=\frac{sin\theta }{cos\theta }\times \frac{cos\theta }{sin\theta }$

By cancelling out the common terms, we get,
$tan\theta \times cot\theta =1$