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Introduction to Trigonometry

CBSE 2026 Board Exam Set 3 (Code 30/1/3)

CBSE_BOARD_PYQ_2026_30_1_3

Grade 10

Question:

[Section A]

If $4 \tan \theta = 3$, then $\sec \theta$ is equal to:

(a) $\dfrac{4}{5}$
(b) $\dfrac{5}{4}$
(c) $\dfrac{3}{5}$
(d) $\dfrac{5}{3}$

Step-by-Step Solution

Key Concept: $\tan \theta = 3/4 \Rightarrow \sec \theta = \sqrt{1 + \tan^2 \theta} = \sqrt{1 + 9/16} = 5/4$.

$\sec \theta = \sqrt{1 + (3/4)^2} = \sqrt{25/16} = 5/4$. [1.0 Mark]

Correct Answer: (b) 5/4

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