Keerthana
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What is the value of sin(11π6)?sin left(frac{11 pi}{6} ight) ?

a

23frac{-2}{sqrt{3}}

b

23frac{2}{sqrt{3}}

c

12frac{-1}{2}

d

12frac{1}{2}

Answer : Option C
Explanation :

sin11π6sin frac{11 pi}{6}

=sin(2ππ6)=sin left(2 pi-frac{pi}{6} ight)

[sin(360θ)=sin(2πθ)=sinθ]left[ecause sin left(360^{circ}- heta ight)=sin (2 pi- heta)=-sin heta ight]

=sinπ6=12=-sin frac{pi}{6}=-frac{1}{2}

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