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Simplify the trigonometric expression. Is this the correct answer?

Simplify the trigonometric expression Is this the correct answer class=

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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]

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