Introduction to Trigonometry
RD Sharma
CBSE
Grade 10
Question:
If $\tan \theta = 1$, then the value of $\sec \theta + \csc \theta$ is:
(a) $2\sqrt{2}$
(b) $\sqrt{2}$
(c) $2$
(d) $1$
Step-by-Step Solution
Key Concept: $\tan \theta = 1 \Rightarrow \theta = 45^\circ$. $\sec 45^\circ + \csc 45^\circ = \sqrt{2} + \sqrt{2} = 2\sqrt{2}$.
$\theta = 45^\circ \Rightarrow \sqrt{2} + \sqrt{2} = 2\sqrt{2}$. [1.0 Mark]
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🎯 Official CBSE Marking Scheme:
Evaluating sum $= 2\sqrt{2}$: 1.0 Mark
Correct Answer: $2\sqrt{2}$
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