Question

Check all that apply. If seco = 12then: I A. sing = 12 13 12 O B. COSg = 二 13 O C. CSCO = 12 13 D. tang 5 12 SU

Answer 1

For this case we have the following expression:

`\sec \theta=(1)/(\cos \theta)=(13)/(12)`

Then solving for cos we got:

`\cos \theta=(12)/(13)`

We can find sin with this:

`\sin \theta=\sqrt[]{1-((12)/(13))^2}=(5)/(13)`

If we find tan theta we got:

`\tan \theta=(\sin \theta)/(\cos \theta)=((5)/(13))/((12)/(13))=(5)/(12)`

and cosecant is:

`\text{csc}\theta=(1)/(\sin \theta)=(1)/((5)/(13))=(13)/(5)`

Then the correct answer is:

B and D