Question

prove that √1-cos a/1+cos a = cosec a -cot a​

Answer 1

√(1-cosA/1+cosA)

=√{(1-cosA)²/(1+cosA)(1-cosA)}

=√{(1-cosA)²/sin²A}

=1-cosA/sinA

=1/sinA-cosA/sinA

=cosecA-cotA

Hence proved