3.Trigonometrical Ratios, Functions and Identities
easy

$\sin 600^\circ \cos 330^\circ  + \cos 120^\circ \sin 150^\circ $ का मान होगा

A

$-1$

B

$1$

C

$\frac{1}{{\sqrt 2 }}$

D

$\frac{{\sqrt 3 }}{2}$

Solution

(a) $\sin \,{600^o}\,\cos \,{330^o} + \cos \,{120^o}\,\sin \,{150^o}$

$ = – \sin \,{60^o}\,\cos \,{30^o} – \sin \,{30^o}\,\cos \,{60^o}$

$ = – \left\{ {\sin \,({{60}^o} + {{30}^o})} \right\} = – 1$.

Standard 11
Mathematics

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