Question

Cos A Cot A / 1 - Sin A = 1 + cosec A ​

Answer 1

Answer:

YOUR QUESTION.:

cosAcotA1−sinA=1+cosecA

I THINK YOU HAVE DONE SOME TYPING MISTAKE.

Answer for the question:

cosAcotA1−sinA=1+cosecA

Take,

LHS=cosAcotA1−sinA

=cosA(cosAsinA)1−sinA...→[as,cotA=cosAsinA]

=cos2AsinA(1−sinA)...→[where,cos2A=1−sin2A]

=(1−sin2A)sinA(1−sinA)

=(1−sinA)(1+sinA)sinA(1−sinA)

=1+sinAsinA

=1sinA+sinAsinA

=cosecA+1

=RHS