SOLUTION: how to calculate the following identity: ((1+sinA)/cosA) + (cosA/sinA) = (1+sinA)/(sinA)(cosA)

Algebra.Com
Question 884920: how to calculate the following identity:
((1+sinA)/cosA) + (cosA/sinA) = (1+sinA)/(sinA)(cosA)

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
how to calculate the following identity:
((1+sinA)/cosA) + (cosA/sinA) = (1+sinA)/(sinA)(cosA)
---------------------
Multiply thru by cos*sin to get:
sin(1+sin) + cos*cos = 1+sin
----
sin + sin^2 + cos^2 = 1 + sin
---
sin + 1 = 1 + sin
-----------------------
Cheers,
Stan H.
-------------------------

RELATED QUESTIONS

SinA+1-cosA/cosA-1+sinA=1+sinA/cosA (answered by anand429)
(SinA/1+cosA) +... (answered by amarjeeth123)
√1+cosA/√1-CosA=sinA/1-cosA (answered by amarjeeth123)
Prove... (answered by Alan3354)
1 - sinA^2/1+cosA =cosA (answered by josgarithmetic)
PROVE THAT sinA/1+cosA +... (answered by AAfter Search)
Proove... (answered by psbhowmick)
if CosA+SinA=1, show that CosA-SinA=±1 (answered by Edwin McCravy)
Please prove: ((cos2A)/(cosA+sinA)^3) =... (answered by Cromlix)