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If an angle is (\frac{4}{3}) radians, what is its nearest whole number measure in degrees?

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Answer and explanation

Correct answer: (76^\circ)

(\frac{4}{3}\times\frac{180^\circ}{\pi}\approx76.4^\circ), so the nearest value is (76^\circ). In exams, use (\pi\approx3.14) for approximation.

Tags

trigonometry angles approximation hard class11

Frequently asked questions

What is the correct answer to this question?

(76^\circ)

Why is this the correct answer?

(\frac{4}{3}\times\frac{180^\circ}{\pi}\approx76.4^\circ), so the nearest value is (76^\circ). In exams, use (\pi\approx3.14) for approximation.

Which subject and chapter does this question cover?

This is a Class 12 Mathematics question. Chapter: Trigonometric Functions. Topic: Angles.

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