Question

Prove that cos a -sina +1 / cos a + sina -1

Answer 1

Answer:

LHS=cosA+sinA−1cosA−sinA+1

dividing Nr and Dr by sinA we get,

=sinAcosA+sinAsinA−sinA1sinAcosA−sinAsinA+sinA1

=cotA+1−cosecAcotA−1+cosecA

=cotA+1−cosecAcotA+cosecA−(cosec2A−cot2A)

=cotA+1−cosecA(cotA+cosecA)(1−cosecA+cotA)

=cotA+cosecA=RHS