3.Trigonometrical Ratios, Functions and Identities
medium

If $A + B + C = \pi ,$ then $\frac{{\cos A}}{{\sin B\sin C}} + \frac{{\cos B}}{{\sin C\sin A}} + \frac{{\cos C}}{{\sin A\sin B}} = $

A

$0$

B

$1$

C

$2$

D

$3$

Solution

(c) $L.H.S.$ $ = \frac{1}{2}\frac{{\sin 2A + \sin 2B + \sin 2C}}{{\sin A\sin B\sin C}} = 2$.

Standard 11
Mathematics

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