How do you solve these trig problems?

Question

I think i know how to do the first but I'm lost on the second. any help would be appreciated.

1) Use a calculator to find cot 165 degrees (which i think is 1/tan(165)

2) Express in terms of a reference angle: csc 4
(Can you also give me an example if they gave me degrees instead of radians?)

THANKS! the most clear and understandable will get thee 10 pts.

Answer 1

1) cot 165° does equal 1/tan 165° = -3.732050808... ≈ -3.732



2) csc 4

π < 4 ≤ 3π/2



The reference angle would be 4 - π.



csc 4 = - csc (4 - π) since 4 is in Quadrant III.



With degrees, it would be easier to see where the angle would be located.

Answer 2

you use your calculator and divide 1 by tan of 165, make sure your calcular is set in degree mode and not radians

i don't understand your problem it says use a caclculator? do you wan to do this by hand?



reference angles are the smallest angle from where you're at it's hard to type out...look here http://faculty.shelton.cc.al.us/~drobinson/Referen%20angle.htm

Answer 3

first one u r rite



convert 4 into radians



4 * 180/pi = 229.09 degrees



csc 4 = 1/sin 4 = 1/sin (229.09) = 1/(-0.7557) = -1.323