Question

1+cot^2 thita×sin^2 thita is equal to 1​

Answer 1

Solution : 1+cot^2theta×sin^2theta=1

LHS=(1+cot^2theta)sin^2theta

=sin^2theta+(sin^2theta×cot^2theta)

=sin^2theta+{sin^2theta×(cos^2theta÷sin^2theta)}

=sin^2theta+cos^2theta

=1=RHS

Proved.