Find the value of sin^2(24)-sin^2(6)

Steps to solve Find the value of sin^2(24)-sin^2(6)

=sin^2(24)-sin^2(6)

=sin(24+6).sin(24-6)

=sin30.sin18

=(1/2).(√5-1)/4

=(√5-1)/8

Hence the value of sin^2(24)-sin^2(6) is (√5-1)/8

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