Question

Prove that cos a into cosec a minus sin a into sec a divided by cos a + sin a is equal to cosec a minus sec a​

Answer 1

Answer:

LHS=cosa(cosec a)-(sina)seca/cosa+sina

=(cosa/sina-sina/coss)/cosa+sina

=(cosa-sina)(cosa+sina)/cosa×sina×(cosa+sina)

=(cosa-sina)/sina×cosa

now separating each term we get

cosa/(sina×cosa)-sina/(sina×cosa)

=coseca×seca=RHS

Answer 2

Answer:

hope this will help you ☺️