If A = 90 B = 30° Sin(A+B)=SinA.CosB+CosA.SinB
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LHS
sin (90+30)
=Sin (120)
=root3/2
RHS
sin90.cos30+cos90.sin30
1*(root3/2)+0*(1/2)
(root3/2)+0
=root3/2
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Answer :
L.H.S. =
= sin(A+B)
= sin(90°+30°)
= sin 90°+sin 30°
= sin 90° = 1
= sin 30° = 1/2
= 1+1/2
= 2+1/2
= 3/2
R.H.S. =
= sin A . cos B + cos A . sin B
= sin 90° . cos 30° + cos 90° . sin 30°
= sin 90° = 1
= cos 30° = √(3)/2
= cos 90° = 0
= sin 30° = 1/2
= 1 × √(3)/2 + 0 × 1/2
= √(3)/2 + 0
= √(3)/2
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