Question

tanx+cotx=2cosex2x prove that

Answer 1

heya friends !!!

it's too easy ,.

as you know , tanx=sinx/cosx

and cotx=cosx/sinx.

so, from ur question .....lhs.

tanx+cotx.

=)sinx/cosx+cosx/sinx

=)sin^2x+cos^2x/cosx*sinx

=)1/sinx×cosx.

now multiply by 2 on numerator and denominator.

then we get ..

=)2/2*sinx*cosx

=)2/sin2x. ,as we know sin2x=2sinx*cosx .

so,=)2cosecx Rhs proove ..


hope it help you☺☺☺☺☺☺☺

@rajukumar☺