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Subjects
Class 12MathematicsTrigonometric FunctionsAnglesExpertLevel 67

If the principal angle of (-\theta) is (110^\circ), what is the principal angle of (\theta)?

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Answer and explanation

Correct answer: (250^\circ)

The principal angle of (-\theta) is (110^\circ), so the principal angle of (\theta) is (-110^\circ+360^\circ=250^\circ). In exams, adjust with (360^\circ) after changing the sign.

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trigonometric-functionsanglesprincipal-angleexpert

Frequently asked questions

What is the correct answer to this question?

(250^\circ)

Why is this the correct answer?

The principal angle of (-\theta) is (110^\circ), so the principal angle of (\theta) is (-110^\circ+360^\circ=250^\circ). In exams, adjust with (360^\circ) after changing the sign.

Which subject and chapter does this question cover?

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

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