Prove that 1-cosA/1+cos A=(cotA-cosecA)
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This question is wrong. Why do you want to harass the teacher.
Correct question is
(1-cosA)/(1+cosA)=(cot A-cosecA)^2
Rationalize LHS
(1-cosA)(1-cosA)/((1+cosA)(1-cosA))
(1-cosA)^2/(1-cos^2A)
(1+cos^2A-2cosA)/sin^2A
=1/sin^2A +cos^2A/sin^2A-2cosA/sin^2S
=cosec^2A + cot^2A -2cotA.cosecA
=(cotA - cosecA)^2
=RHS
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