Question

which of the following is equivalent to
$cos\theta cdot \tan\theta$

$\bigcirc sin\theta$

$\bigcirc cot\theta$

$\bigcirc cos\theta$

$\bigcirc \tan\theta$

Explanation:

Step1: Substitute tanθ definition

$\cos\theta \cdot \tan\theta = \cos\theta \cdot \frac{\sin\theta}{\cos\theta}$

Step2: Cancel common cosθ terms

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

Answer:

A. $\sin\theta$