Question

Simplify the trigonometric expression. Is this the correct answer?

Answer 1

Answer:

$\boxed{\tan \theta}$

Step-by-step explanation:

$\dfrac{\tan \theta }{\sin^{2} \theta + \cos^{2} \theta}$

Use the trigonometric identity

$\sin^{2}\theta + \cos^{2}\theta = 1$

Then,

$\dfrac{\tan \theta }{\sin^{2} \theta + \cos^{2} \theta} = \dfrac{\tan \theta }{1} = \boxed{\tan \theta}$