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Mathematics 19 Online
OpenStudy (anonymous):

If tanθ = , then secθ = _____.

OpenStudy (freckles):

there is nothing given so i don't think it would be possible to find anything

OpenStudy (anonymous):

1/3 sorry

OpenStudy (anonymous):

I didn't realize it didn't show up

OpenStudy (freckles):

\[\tan(\theta)=\frac{1}{3} \] I guess we are going to assume theta is in the first quadrant... It is either that our it is in the 4th quadrant... But anyways lets just look at this right triangle here for now: |dw:1417554119474:dw|

OpenStudy (freckles):

we are given tan(theta)=1/3

OpenStudy (freckles):

and we know that tan(theta)=opp/adj

OpenStudy (freckles):

so we could choose the opp measurement of angle theta to be 1 and the adj measurement of angle theta to be 3

OpenStudy (freckles):

do you know how to label the triangle above and then find any remaining sides?

OpenStudy (anonymous):

No /:

OpenStudy (freckles):

do you know what side is opp to angle theta?

OpenStudy (anonymous):

yeah

OpenStudy (freckles):

opposite side is the side not touching angle theta (that is way on the opposite side) adjacent is the side touching the angle theta (that isn't the hyp) the hyp is always opp the 90 degree angle -- so this means you should be able to label the triangle above

OpenStudy (anonymous):

oh okay I know that

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