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Model Paper 10 — MATHS STD 11 Science — Question

Rajasthan BoardEnglish MediumSTD 11 ScienceMATHSModel Paper 101 Mark
MCQ
Which is smaller, $\sin 64^{\circ}$ or $\cos 64^{\circ}$ ?
  • A
    $\cos 64^{\circ}$
  • B
    $\sin 64^{\circ}$
  • C
    cannot be compared
  • D
    both are equal
✓

Answer

(a) $\cos 64^{\circ}$
Explanation: In quadrant $I , \sin \theta$ is increasing.
Now, $\cos 64^{\circ}=\cos \left(90^{\circ}-26^{\circ}\right)=\sin 26^{\circ}$.
Clearly, $\sin 26^{\circ}<\sin 64^{\circ} \Rightarrow \cos 64^{\circ}<\sin 64^{\circ}$

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