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Introduction to Trigonometry

CH08 Question Bank

CBSE_CH08_QUESTION_BANK

Grade 10

Question:

For any acute angle $\theta$, the value of $\tan\theta\times\cot\theta$ is:

$0$
$\dfrac12$
$1$
$2$

Step-by-Step Solution

Key Concept: $\cot\theta$ is the reciprocal of $\tan\theta$.

Since $\cot\theta=\dfrac{1}{\tan\theta}$, we get $\tan\theta\times\cot\theta=1$. [1.0 Mark]

Correct Answer: $1$

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