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Introduction of Trigonometry — Maths STD 10 — Question

CBSE BoardEnglish MediumSTD 10MathsIntroduction of Trigonometry1 Mark
MCQ
$\sin(45^\circ+\theta)-\cos(45^\circ-\theta)=?$
  • A
    $2\sin\theta$
  • B
    $2\cos\theta$
  • ✓
    $0$
  • D
    $1$
✓

Answer

Correct option: C.
$0$
$\sin(45^\circ+\theta)-\cos(45^\circ-\theta)$
$=\sin(45^\circ+\theta)-\cos[90^\circ-(45^\circ+\theta)]$
$=\sin(45^\circ+\theta)-\sin(45^\circ+\theta)$
$=0$

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