Posted by Don on Sunday, January 8, 2012 at 9:48pm.
The question is:
Set up a 2 column proof to show that each of the equations is an identity. Transform the left side to become the right side.
a. (tan + cot)^2 = sec^2 + csc^2
I'm having trouble with this.
b. (cos + sin)/cos + (cos - sin)/sin = csc sec
I'm having trouble with this too.
- Trig - Reiny, Sunday, January 8, 2012 at 10:16pm
you will need two identities here:
tan^2 x + 1 = sec^2 x , and
cot^2 x + 1 = csc^2 x
LS = tanx + cotx)^2
= tan^2x + 2tanxcotx + cot^2x
= sec^2x - 1 + 2 + csc^2x , because (tanx)(cotx) = 1
= sec^2 x + csc^2 x
b) LS = (sinx(cosx + sinx) + cosx(cosx - sinx))/(sinxcosx)
= (sinxcosx + sin^2x + cos^2x - sinxcosx)/(sinxcosx)
= cscx secx
Answer this Question
More Related Questions
- trig - I do not understand these problems. :S I'd really appreciate the help. ...
- Trig - Proving Identities: 2 columns (tan + cot)^2 = sec^2 + csc^2 I'm having ...
- inverse trig functions - evaluate the following expressions: tan(sec^-1(5/3)) ...
- trig - For each expression in column I, choose the expression from column II to ...
- Algebra2 Verify Identity - Verify the Identity: csc(x)+sec(x)/sin(x)+cos(x)=cot(...
- trig...again - gahh i cant figure this one out either. you have you verify the ...
- Trig verifying identities - I am having trouble with this problem. sec^2(pi/2-x...
- Pre Cal - could someone please tell me what the other angle identity of tan is? ...
- Precalculus - Prove that the left side equals the right side Tan + sec -1 / tan...
- trig - Ok so I have a right triangle with the hypothenuse = to 5, one side =3 ...