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Introduction of Trigonometry and its Application — Maths STD 10 — Question

CBSE BoardEnglish MediumSTD 10MathsIntroduction of Trigonometry and its Application1 Mark
MCQ
Choose the correct answer from the given four options.
Given that $\sin\alpha=\frac{1}{2}\text{ and }\cos\beta=\frac{1}{2}$ then the value of $(\alpha+\beta)$ is:
  • A
    0º
  • B
    30º
  • C
    60º
  • ✓
    90º
✓

Answer

Correct option: D.
90º
$\text{Given, }\sin\alpha=\frac{1}{2}=\sin30^\circ$ $\Big[\because\sin30^\circ=\frac{1}{2}\Big]$$\Rightarrow\ \alpha=30^\circ$
$\text{and }\cos\beta=\frac{1}{2}=\cos60^\circ$ $\Big[\because\cos60^\circ=\frac{1}{2}\Big]$
$\Rightarrow\ \beta=60^\circ$
$\therefore\ \alpha+\beta=30^\circ+60^\circ=90^\circ$

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