Asked by Madison
secx+tanx/secx- tanx = 1+2sinx+sin^2x/ cos^2x
Answers
Answered by
Reiny
I will assume you want to prove the identity to be true.
The way you typed , the statement is NOT an identity
You must have meant:
(secx+tanx)/(secx- tanx) = (1+2sinx+sin^2x)/ cos^2x
LS = (1/cosx + sinx/cosx) / (1/cosx - sinx/cosx)
= ( (1+sinx)/cosx)/( (1-sinx)/cosx)
= (1+sinx) / (1 - sinx)
RS = (1+sinx)^2 / (1 - sin^2 x)
= (1+sinx)(1+sinx)/( (1-sinx)(1+sinx))
= (1+sinx)/(1-sinx)
= LS
The way you typed , the statement is NOT an identity
You must have meant:
(secx+tanx)/(secx- tanx) = (1+2sinx+sin^2x)/ cos^2x
LS = (1/cosx + sinx/cosx) / (1/cosx - sinx/cosx)
= ( (1+sinx)/cosx)/( (1-sinx)/cosx)
= (1+sinx) / (1 - sinx)
RS = (1+sinx)^2 / (1 - sin^2 x)
= (1+sinx)(1+sinx)/( (1-sinx)(1+sinx))
= (1+sinx)/(1-sinx)
= LS
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.