Posted by Jonathan on Monday, December 14, 2009 at 9:08pm.
Prove that each of these equations is an identity.
A) (1 + sinx + cos x)/(1 + sinx + cosx)=(1 + cosx)/sinx
B) (1 + sinx + cosx)/(1  sinx + cosx)= (1 + sin x)/cosx
Please and thankyou!

Math  Pre Clac  Reiny, Monday, December 14, 2009 at 10:41pm
you must have a typo in A since the left side equals 1
for B
multiply the left side by (1+sinxcosx)/(1+sinxcosx)
which after collecting like terms, and reducing comes to the right side.
A key simplification is the sequence of terms
1 ....+sin^2x...  cos^2x
which reduces to 2sin^2x
I am sure a similar step will work for A) after you find your typo

Math  Pre Clac  Jonathan, Monday, December 14, 2009 at 10:46pm
Ok thanks, I did make a typo my bad.
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