## A community for students. Sign up today

Here's the question you clicked on:

## anonymous one year ago Establish the Identity: csc tetha * tab tetha=sec tetha

• This Question is Closed
1. anonymous

$\csc \Theta \times \tan \Theta=\sec$

2. anonymous

@jim_thompson5910

3. jim_thompson5910

hints: csc = 1/sin tan = sin/cos

4. jim_thompson5910

also, sec = 1/cos

5. jim_thompson5910

try transforming the left side into the right side do not alter the right side at all

6. anonymous

ok gimme a minute

7. anonymous

i changed it to|dw:1433390278065:dw|

8. jim_thompson5910

good |dw:1433390396074:dw|

9. jim_thompson5910

and the last line would be sec(theta) = sec(theta)

10. anonymous

ok i understood that, but how did you know the hints?

11. jim_thompson5910

it's something to memorize or have on a sheet like this http://tutorial.math.lamar.edu/pdf/Trig_Cheat_Sheet.pdf

12. jim_thompson5910

see page 2 where it says "Tangent and Cotangent Identities" and "Reciprocal Identities"

13. jim_thompson5910

your teacher may give you a sheet like that on the exam, but it's best to ask him/her first

14. anonymous

yeah i don't he give us that, so i'm going to have to memorize it by tomorrow! thanks for the link

15. jim_thompson5910

np

16. anonymous

so basically since I got sec theta=sec theta that's the identity getting established?

17. jim_thompson5910

yeah once you get to something in the form x = x, you have effectively proven the identity is confirmed

18. anonymous

okay understood

#### Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy