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If \(\theta=0^\circ\), what is the value of \(\cos \theta\)?

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Answer and explanation

Correct answer: 1

For the standard angle, \(\cos 0^\circ=1\). On the unit circle, the point corresponding to \(0^\circ\) is \((1,0)\), and its x-coordinate represents cosine. Hence, the correct value is 1. Option 0 is the value of \(\sin 0^\circ\), not \(\cos 0^\circ\). Exam tip: Remember that at \(0^\circ\), \(\sin\theta=0\) and \(\cos\theta=1\).

Related tags

Trigonometric FunctionsCosineStandard AnglesUnit CircleClass 11 Mathematics

Frequently asked questions

What is the correct answer to this question?

1

Why is this the correct answer?

For the standard angle, \(\cos 0^\circ=1\). On the unit circle, the point corresponding to \(0^\circ\) is \((1,0)\), and its x-coordinate represents cosine. Hence, the correct value is 1. Option 0 is the value of \(\sin 0^\circ\), not \(\cos 0^\circ\). Exam tip: Remember that at \(0^\circ\), \(\sin\theta=0\) and \(\cos\theta=1\).

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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