Question

If cos Θ = negative two over five and tan Θ > 0, what is the value of sin Θ?

Answer 1

help pls

Answer 2

do you know what quadrant theta is from the information given?

we are given cos is negative and tan is positive

so is sin negative or positive?

remember tan can be written as sin/cos

Answer 3

to be honest im not really sure what to do but i know that sin is positive.

Answer 4

so positive divided by a negative is positive ?

Answer 5

you should know that
positive divided by a negative is negative

Answer 6

no it would be a negative.. i guess i dont know anything

Answer 7

that can't be true

Answer 8

anyways cos is negative and sin is negative
so this tells you what quadrant theta is in

so what quadrant is theta in?

Answer 9

i have absolutely no idea where to even look

Answer 10

quadrant 1 both cos and sin are positive
quadrant 2 cos is negative and sin is positive
quadrant 3 both cos and sin are negative
quadrant 4 cos is positive and sin is negative

Answer 11

so quadrant 3

Answer 12

so that means our point is in quadrant 3 also