Simplify the trigonometric expression. Is this the correct answer?
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Answer:
[tex]\boxed{\tan \theta}[/tex]
Step-by-step explanation:
[tex]\dfrac{\tan \theta }{\sin^{2} \theta + \cos^{2} \theta}[/tex]
Use the trigonometric identity
[tex]\sin^{2}\theta + \cos^{2}\theta = 1[/tex]
Then,
[tex]\dfrac{\tan \theta }{\sin^{2} \theta + \cos^{2} \theta} = \dfrac{\tan \theta }{1} = \boxed{\tan \theta}[/tex]