Find the value of 2.sin67(1/2).cos22(1/2)

Steps to solve Find the value of 2.sin67(1/2).cos22(1/2)

=2.sin67(1/2).cos22(1/2)

=2.sin(135/2).cos(45/2)

=sin{(135/2)+(45/2)}+sin{(135/2)-(45/2)}

=sin(180/2)+sin(90/2)

=1+(1/√2)

=(√2+1)/√2

Hence the value of 2.sin67(1/2).cos22(1/2) is (√2+1)/√2

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