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Class 12MathematicsTrigonometric FunctionsTrigonometric functions and their propertiesMediumLevel 72

If (\tan \theta=\sqrt{3}) and (0<\theta<\pi), what is the value of (\theta)?

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Answer and explanation

Correct answer: (\frac{\pi}{3})

The reference angle for ( \tan \theta=\sqrt{3}) is ( \frac{\pi}{3}), and in (0<\theta<\pi) tangent is positive in the first quadrant. In exams choose the quadrant by sign.

Tags

trigonometric-functionstangent-equationreference-angle

Frequently asked questions

What is the correct answer to this question?

(\frac{\pi}{3})

Why is this the correct answer?

The reference angle for ( \tan \theta=\sqrt{3}) is ( \frac{\pi}{3}), and in (0<\theta<\pi) tangent is positive in the first quadrant. In exams choose the quadrant by sign.

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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