Question

Plz answer this with explanation.....​

Answer 1

Step-by-step explanation:

1/cosec a- cot a -1/sin a=1/sin a- 1/cosec a+cot a

L.H.S.

=1/ cosec a -cot a*cosecA + cot a / cosec +cot a-1/sin a

= cosec a + cot a / cosec^2A-cot^2A-1/sin a

= cosec a+cot a- cosec a

=cot a

R.H.S

1/sin a-1/cosec a+ cot a*cosec a- cot a/ cosec a- cot a

= 1/sin a- (cosecA-cot a )/cosec a^ 2A- cot a^2A

=1/sin a -(cosecA -cot A)

=cosecA - cosecA+ cot A

=cot A

: therefore L.H.S=R.H.S