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Trigonometric Functions — Maths STD 12 Science — Question

Maharashtra BoardEnglish MediumSTD 12 ScienceMathsTrigonometric Functions2 Marks
MCQ
In $\triangle ABC , \operatorname{cosec} A (\sin B \cos C +\cos B \sin C )=$
  • A
    c/a
  • B
    $a / c$
  • ✓
    $1$
  • D
    c/ab
✓

Answer

Correct option: C.
$1$
(C) $\frac{\sin B \cos C}{\sin A}+\frac{\cos B \sin C}{\sin A}$
$=\left(\frac{ b }{ a } \cos C +\frac{ c }{ a } \cos B \right)$
$=1$ ...[By projection rule]

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