Question
sin(12cos−145)=
Answer: Option A
:
A
Let 0≤x≤π
So,cos−145=x⇒cosx=45 ....(i)
Now sin(12cos−145)=sin(x2) ....(ii)
From (i), cosx=45⇒1−2sin2x2=45
⇒2sin2x2=1−45=15⇒sinx2=√110.
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:
A
Let 0≤x≤π
So,cos−145=x⇒cosx=45 ....(i)
Now sin(12cos−145)=sin(x2) ....(ii)
From (i), cosx=45⇒1−2sin2x2=45
⇒2sin2x2=1−45=15⇒sinx2=√110.
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