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Trigonometry – II — Maths STD 11 Science — Question

Maharashtra BoardEnglish MediumSTD 11 ScienceMathsTrigonometry – II2 Marks
MCQ
$\operatorname{cosec} A-2 \cot 2 A \cos A=$
  • ✓
    2 sin A
  • B
    sec A
  • C
    2 cos A cot A
  • D
    cos A
✓

Answer

Correct option: A.
2 sin A
(A)
$\operatorname{cosec} A -2 \cot 2 A \cos A$
$=\frac{1}{\sin A}-\frac{2 \cos A \cos 2 A}{\sin 2 A}$
$=\frac{1}{\sin A}-\frac{2 \cos A \cos 2 A}{2 \sin A \cos A}$
$=\frac{1-\cos 2 A}{\sin A }=\frac{2 \sin ^2 A}{\sin A }=2 \sin A$

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