Keerthana
Posted on

What is the value of sin 7π4frac{-7 pi}{4} ?

a

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

b

23frac{2}{sqrt{3}}

c

12frac{1}{sqrt{2}}

d

12frac{-1}{sqrt{2}}

Answer : Option C
Explanation :

sin(7π4)=sin7π4sin left(-frac{7 pi}{4} ight)=-sin frac{7 pi}{4}

=sin(2ππ4)=-sin left(2 pi-frac{pi}{4} ight)

=sinπ4=12=sin frac{pi}{4}=frac{1}{sqrt{2}}

[sin (2π – θ) = – sinθ]

Rate This:
NaN / 5 - 1 votes
Profile photo for Dasaradhan Gajendra