Kennedy H.

asked • 07/16/16# find value for sec theta when tan theta=-sqrt root 11 divided by 5, cos theta<0

find value for sec theta when tan theta=-sqrt root 11 divided by 5, cos theta<0

More

## 1 Expert Answer

Nancy S. answered • 07/16/16

Tutor

New to Wyzant
30 years experience in College Prep math, SAT and ACT

If tanθ = -root 11/5, first draw a right triangle, lable θ. Since tan is opposite/adjacent, root 11 is opposite and 5 is adjacent.

Putting the numbers into Pythagorean theorem to find hypotenuse gives a hypotenuse of 6.

Cos is - (given), and is adj/hyp

Sec is the inverse of Cos which would then be hyp/adj

since hyp was solved to be 6, and adjacent was given to be 5,

Sec θ = -6/5

Kenneth S.

Nancy S says:

*Sec is the inverse of Cos which would then be hyp/adj*Be careful using the word inverse here, because there could be confusion [e.g. cos

^{-1}θ].**It's much better to say that SEC is the reciprocal of COS**... (multiplicative inverse)
Report

07/16/16

Nancy S.

Ok thanks.

Report

07/16/16

Nancy S.

But you do agree with my answer?

Report

07/16/16

## Still looking for help? Get the right answer, fast.

Ask a question for free

Get a free answer to a quick problem.

Most questions answered within 4 hours.

#### OR

Find an Online Tutor Now

Choose an expert and meet online. No packages or subscriptions, pay only for the time you need.

Michael J.

07/16/16