Simplify the expression: $$sin A + \frac{cos A}{tan(90-A)}$$​​

Correct option is C

Given:

$$sin A + \frac{cos A}{tan(90-A)}$$

Concept Used:

tan (90 -A) = cot A

cot A = $$\frac{cos A}{sinA}$$

Solution:

$$sin A + \frac{cos A}{tan(90-A)}$$

=$$sin A + \frac{cos A}{cotA}$$

=$$sin A + \frac{cos A}{\frac{cosA}{sinA}}$$

=sin A + sin A= 2 sinA

Thus ,option (c) is right.