Question

( cosec A + cot A)( 1- cos A)

​

Answer 1

(cosec a+cot a)(1-cos a)

= cosec a-cosec a*cos a+cot a-cot a*cos a

=1/sin a-(cos a)/sin a+(cos a-cos^2 a)/sin a

=(1-cos a+cos a-cos^2 a)/sin a

=(1-cos^2 a)/sin a

=sin^2 a/sin a = sin a