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Mathematics — CBSE Class 10 board question

Q1. [1]
If $\theta$ is an acute angle and $7 + 4\sin\theta = 9$, then the value of $\theta$ is:
  1. A $90°$
  2. B $30°$
  3. C $45°$
  4. D $60°$
Previously asked in CBSE board exam
2025 30/1/1 Q4
Generated by claude-sonnet-4-6 · 2026-06-15 10:21 · grounding rag
Model Answer

Option (B) 30°

$7 + 4\sin\theta = 9 \Rightarrow 4\sin\theta = 2 \Rightarrow \sin\theta = \dfrac{1}{2}$. Since $\sin 30° = \dfrac{1}{2}$, therefore $\theta = 30°$.

Explanation

Solve the equation to find $\sin\theta = \frac{1}{2}$, then use the standard values table (Table 8.1) from Chapter 8. Remember $\sin 30° = \frac{1}{2}$ is a must-memorise value. Always show the algebraic step before stating the angle.

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