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What is (\frac{\tan \theta}{\sec \theta}) equal to?

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Answer and explanation

Correct answer: (\sin \theta)

Using (\tan \theta=\frac{\sin \theta}{\cos \theta}) and (\sec \theta=\frac{1}{\cos \theta}), the answer is (\sin \theta). Convert division into fractions and cancel.

Tags

trigonometric-functionssimplificationquotient

Frequently asked questions

What is the correct answer to this question?

(\sin \theta)

Why is this the correct answer?

Using (\tan \theta=\frac{\sin \theta}{\cos \theta}) and (\sec \theta=\frac{1}{\cos \theta}), the answer is (\sin \theta). Convert division into fractions and cancel.

Which subject and chapter does this question cover?

This is a Class 12 Mathematics question. Chapter: Trigonometric Functions. Topic: Trigonometric functions and their properties.

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