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What is the minimum value of (\sin \theta-\cos \theta)?

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Answer and explanation

Correct answer: (-\sqrt{2})

The amplitude of ( \sin \theta-\cos \theta) is ( \sqrt{1^2+(-1)^2}=\sqrt{2}). In exams the minimum is the negative amplitude.

Tags

trigonometric-functionsmax-minamplitude

Frequently asked questions

What is the correct answer to this question?

(-\sqrt{2})

Why is this the correct answer?

The amplitude of ( \sin \theta-\cos \theta) is ( \sqrt{1^2+(-1)^2}=\sqrt{2}). In exams the minimum is the negative amplitude.

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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