1.

Sin^4Q-cos=1-2cos^2Q​

Answer»

sin^2+cos^2=1———————-(1)

cos^2=1-sin^2———————-(2)

lhs=sin^2+cos^4

=sin^2+cos^2(cos^2)

=sin^2+cos^2(1-sin^2)———————from(2)

=sin^2+cos ^2-(cos^2)(sin^2)

=1-(1-sin^2)sin^2—————————from(2)

=1-sin^2+sin^4

=cos^2+sin^4——————————-from(2)

=rhs

hence proved.

Hope HELPS


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