Question

Let (-5,3) be a point on the terminal side of theta. Find the exact values of cos(theta), csc(theta), and tan (theta)

Answer 1

FInd r using the Pythagoras equation, then
sin(theta)=y/r
cos(theta)=x/r
tan(theta)=y/x
csc(theta)=r/y
sec(theta)=r/x
cot(theta)=x/y

Answer 2

Like a^2 + b^2 = c^2? Would r be c?

Answer 3

@Evoker

Answer 4

yeah

Answer 5

so for your case r is square root of 34.

Answer 6

Okay! And then I just substitute the square root of 34 for r into those formulas?

Answer 7

yep

Answer 8

So the answers would be
cos = -5/sqrt34
csc = sqrt34/3
tan = 3/-5

Answer 9

Is this correct?

Answer 10

depends does your text want to rationalize denominators? but if not yes