Question

Sin(45°+A)×Cos(45°+B)+Cos(45°+A)×Sin(45°+B) =

Answer 1

Solution :

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SinXcosY + CosXsinY = Sin( X + Y )

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Here ,

X = 45 + A ,

Y = 45 + B ,

Now

Sin(45+A)Cos(45+B)+cos(45+A)Sin(45+B)

= Sin[ 45+A + 45+B ]

= sin[ 90 + ( A+B )]

= Cos(A+B )

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