Math
posted by Alycia .
I'm only aloud to manipulate one side of the problem and the end result has to match the other side of the equation
Problem 1. sinx + cosx + sinx + tanx + cosxcotx = secx + cscx
Problem 2. ((sinx + cosx)/(1 + tanx))^2 + ((sinx  cos^2x)/(1  cotx))^2 = 1
Problem 3. ((1 + sinx)/cosx) + (cosx/(1 + sinx)) = 2secx

I did the first one, after fixing your typo
http://www.jiskha.com/display.cgi?id=1351823844 
#2 does not work for x=30° so there is a typo, or it is not and identity.
#3
LS = (1+sinx)/cosx + cosx/(1+sinx)
using LCD of cosx(1+sinx)
= ( (1+sinx)(1+sinx) + cos^2 x)/(cosx(1+sinx) )
= 1 + 2sinx + sin^2 x + cos^2 x)/(cosx(1+sinx) )
= (2 + 2sinx)/(cosx(1+sinx))
= 2(1+sinx)/(cosx(1+sinx))
= 2/cosx
= 2secx
= RS
Respond to this Question
Similar Questions

PreCalc
Trigonometric Identities Prove: (tanx + secx 1)/(tanx  secx + 1)= tanx + secx My work so far: (sinx/cosx + 1/cosx + cosx/cosx)/(sinx/cos x  1/cosx + cosx/cosx)= tanx + cosx (just working on the left side) ((sinx + 1  cosx)/cosx)/((sinx … 
Simplifying with Trigonometry Identities
Hi, I am a senior in High School having a really difficult time with two problems. I have to prove using the trigonometric identities that they equal each other but I am having a really hard time trying to get them to equal each other. … 
PreCalculus
How can this identity be proved/verified? 
drwls
My previous question: Verify that (secx/sinx)*(cotx/cscx)=cscx is an identity. (secx/sinx)*(cotx/cscx) = (secx/cscx)(cotx/sinx) = (sinx/cosx)*cotx*(1/sinx) "The last steps should be obvious" Not to me. I can convert (sinx/cosx) to … 
PreCal
How do I do these questions? I'm supposed to prove them so that both sides are the same and I'm only supposed to manipulate one side and leave the other side alone but I'm stuck. Problem 1. (secx/cosx)(cscx/sinx)=tan^2xcot^2x Problem 
Math
Im really struggling with these proving identities problems can somebody please show me how to do these? 
Math
Im really struggling with these proving identities problems can somebody please show me how to do these? 
Math
Im really struggling with these proving identities problems can somebody please show me how to do these? 
precal
please help i can't find the answer for this question. i can only manipulate one side of the equation and the end result has to equal the other side. Problem 1. ((1 + sinx)/cosx) + (cosx/(1 + sinx)) = 2secx 
Math
I can only manipulate one side of the equation and the end result should be equal to the other side. please help. ((sinx + cosx)/(1 + tanx))^2 + ((sinx  cosx)/(1  cotx))^2 = 1