Simplify: (sin²θ/cos θ) + (cos²θ/cos θ)

Correct option is B

Given:

The expression is $$\frac{\sin^2 \theta}{\cos \theta} + \frac{\cos^2 \theta}{\cos \theta}$$​​

Formula Used:
Using the identity $$\sin^2 \theta + \cos^2 \theta = 1$$​​

Solution:
Combine the terms over the common denominator $$\cos \theta$$​ :

​$$\frac{\sin^2 \theta}{\cos \theta} + \frac{\cos^2 \theta}{\cos \theta} = \frac{\sin^2 \theta + \cos^2 \theta}{\cos \theta}$$​​

Substitute $$\sin^2 \theta + \cos^2 \theta = 1$$​​

​$$\frac{1}{\cos \theta}$$​​

​$$\sec \theta$$​​

Therefore, the simplified expression is $$\sec \theta$$​ .