Question

prove the following identity: cosA/1+sinA=1-sinA/cosA​

Answer 1

multiply both numerator and denominator by (1-sinA),

cosA(1-sinA)/(1+sinA)(1-sinA)

cosA(1-sinA)/(1-sin^2A)

cosA(1-sinA)/cos^2A

(1-sinA)/(cosA)