Question

if sin theta =-4/5 and theta is in quadrant 4, the value of sec theta is___.

Answer 1

draw a triangle. Use the pythagorean theorem to find the 3rd side.
sin Θ = opposite/hypotenuse
sec Θ = hypotenuse/adjacent

Answer 2

it was a mess up on my part

Answer 3

but how can a side be -4??

Answer 4

the adjacent side is 9, right?

Answer 5

so it would be 5/9?

Answer 6

it's not really that the side length is -4. the length is 4, it's the location on the coordinate plane that's -4.

Answer 7

so it would be 5/9?

Answer 8

it's 3 not 9. you have to take the square root

Answer 9

ohhh yea i forgot that step

Answer 10

thank you

Answer 11

so 5/3?

Answer 12

yes

Answer 13

thank you!!!!

Answer 14

you're welcome

Answer 15

i gave you a medal