SOLUTION: Prove (1 - sin A)/(1 + sin A) = (sec A - tan A)^2

Algebra.Com
Question 1208768: Prove (1 - sin A)/(1 + sin A) = (sec A - tan A)^2
Answer by math_tutor2020(3817)   (Show Source): You can put this solution on YOUR website!

I'll transform the left hand side into the right hand side.
For each step below, the right hand side stays the same.


Multiply top and bottom of the left hand side by (1-sin(A))












The identity has been confirmed.

RELATED QUESTIONS

Prove that sin A +cos A-1/sin A -cos A + 1=1/sec A + tan... (answered by Alan3354)
prove the identity.... (answered by Alan3354)
(sin A-cos A+1)/(sin A+cos A-1)=1/(tan A+sec... (answered by nyc_function)
1. Simplify a) 1/sin^2x - 1/tan^2x b)sinxcosx/1-sin^2x 2. Prove that tanx + 1/tanx = (answered by nyc_function)
prove that : 1. 1+sin A/cos A = sec A + tan A 2. 1-(cos^2 A/1+sinA)= sin A 3.... (answered by Alan3354)
prove that : 1. 1+sin A/cos A = sec A + tan A 2. 1-(cos^2 A/1+sinA)= sin A 3.... (answered by Alan3354)
Sec A + tan A =2 find sin A + cos A ? (answered by KMST)
Prove that... (answered by josgarithmetic)
prove sin(5A) + sin(2A) - sin(A) = sin2A(2cos3A +... (answered by Alan3354)