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Introduction to Trigonometry

CH08 Question Bank

CBSE_CH08_QUESTION_BANK

Grade 10

Question:

If $\sin\theta=\cos\theta$ for an acute angle $\theta$, then $\theta$ equals:

$0^\circ$
$30^\circ$
$45^\circ$
$60^\circ$

Step-by-Step Solution

Key Concept: Recall that $\sin45^\circ=\cos45^\circ=\dfrac{1}{\sqrt2}$, the only acute angle where the two are equal.

$\sin45^\circ=\cos45^\circ=\dfrac{1}{\sqrt2}$, so $\theta=45^\circ$. [1.0 Mark]

Correct Answer: $45^\circ$

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