Question

Use the identities to find the exact value of the following.
tan(theta)=-7/2; on (pi/(3pi/2)); sec(theta)

Answer 1

I guess you mean (pi,3pi/2)

Answer 2

which is the third quadrant
where both cos and sin are negative

Answer 3

and if cos is neg then sec is neg

Answer 4

since they are reciprocal functions

Answer 5

anyways recall the pythagorean identity
\[1+\tan^2(\theta)=\sec^2(\theta)\]

Answer 6

Plug in what you got for tan(theta) and solve for sec(theta)

Answer 7

by the way your tan makes no sense for that quadrant

Answer 8

since tan is suppose to be positive in the 3rd quadrant

Answer 9

Well my teacher isn't the brightest to be honest. She doesn't teach and she only knows how to flip through a PowerPoint.

Answer 10

we can still do the problem
even though some of it doesn't make sense though

Answer 11

because we will squaring tan anyways

Answer 12

I think I have it but thanks you for the help

Answer 13

well what you get

Answer 14

Sec(theta) = -sqrt53/4

Answer 15

yeah you mean -sqrt(53/4) or -sqrt(53)/2 :)