verify the identity 1cossin sin1cos 2csc verify antity mes

verify the identity

1-cos@/sin@ + sin@/1-cos@= 2csc@

verify antity mes as 1-cos, sin sin , 1-cos take, e-afuoion sat as y =-2 sin(3x) + 5

Solution

1-cosx/sinx +sinx/1-cosx

=(1-cosx)²+sin²x /sinx(1-cosx)

=1+cos²x-2cosx+sin²x/sinx(1-cosx)

=2(1-cosx)/sinx (1-cosx)

=2/sinx=2cosec x