Sunday

January 25, 2015

January 25, 2015

Posted by **Don** on Sunday, January 8, 2012 at 9:48pm.

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 10:16pma)

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

= RS

b) LS = (sinx(cosx + sinx) + cosx(cosx - sinx))/(sinxcosx)

= (sinxcosx + sin^2x + cos^2x - sinxcosx)/(sinxcosx)

= 1/sinxcosx

= (1/sinx)(1/cosx)

= cscx secx

= RS

**Answer this Question**

**Related Questions**

Please help trig proof - ((cotx+cscx)/(sinx+tanx))=cotxcscx Please prove left ...

algebra - Set the equations equal to each other so you can determine when the ...

proof by mathematical induction - subject is PreCalulus. 2^(k+3) = and < (k+3...

trig...again - gahh i cant figure this one out either. you have you verify the ...

Trigonometry - How am I suppose to transform the left side of the equation into ...

math - The scale balanced when n+20=80 Suppose the left side becomes n+3 How can...

math - If the answer is 1-2/3m what is the question> How can you solve ...

trig - I do not understand these problems. :S I'd really appreciate the help. ...

Math - I need to show that the right side equals the left side but I am having ...

Math - I need to show that the right side equals the left side but I am having a...