Question

find θ-> sec θ = -1.0365

Answer 1

First, take the literal inverse of the function, so 1/-1.0365, would give you cos (theta). Take the arccos of whatever the inverse of -1.0365, but make it positive. This gives you your reference angle. To find the actual angle, use the CAST(or ASTC) rule to find which two quadrants which cosine is negative. Then use the rules for finding the angle in each quadrant given the reference.

Answer 2

im getting 2.8754

Answer 3

Radians?

Answer 4

im not sure.. i did 1/-1.0365 then i took that answer (-.96478) and i did cos-1 (-.964785) ad i got the 2.8754

Answer 5

Oh, you want positive .964785

Answer 6

Yeah, and you're in radians

Answer 7

ok so now i got .26617

Answer 8

Oh, you want positive .964785

Answer 9

where do i take it from there?

Answer 10

Yup, now in what quadrants are cosine negative?, since we started out with a negative secant

Answer 11

second adn third

Answer 12

Yea, so for the second quadrant, the real angle is pi-your reference angle, in third its your reference angle+pi, if you're doing it in radians.

Answer 13

ohh ok i got it now.. thank you so much!

Answer 14

No problem!