Introduction to Trigonometry and Its Applications
NCERT Exemplar
CBSE
Grade 10
Question:
If $\sin A = \dfrac{1}{2}$, then the value of $\cot A$ is:
(a) $\sqrt{3}$
(b) $\dfrac{1}{\sqrt{3}}$
(c) $\dfrac{\sqrt{3}}{2}$
(d) $1$
Step-by-Step Solution
Key Concept: If $\sin A = 1/2 \Rightarrow A = 30^\circ$. $\cot 30^\circ = \sqrt{3}$.
$\sin A = 1/2 \Rightarrow A = 30^\circ$. [0.5 Mark]
$\cot 30^\circ = \sqrt{3}$. [0.5 Mark]
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🎯 Official CBSE Marking Scheme:
Identifying angle $A = 30^\circ$: 0.5 Mark
Evaluating $\cot 30^\circ = \sqrt{3}$: 0.5 Mark
Correct Answer: $\sqrt{3}$
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