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

Question

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

anonymous · Answer

help pls

freckles · Answer

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

anonymous · Answer

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

freckles · Answer

so positive divided by a negative is positive ?

freckles · Answer

you should know that
positive divided by a negative is negative

anonymous · Answer

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

freckles · Answer

that can't be true

freckles · Answer

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

anonymous · Answer

i have absolutely no idea where to even look

freckles · Answer

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

anonymous · Answer

so quadrant 3

freckles · Answer

so that means our point is in quadrant 3 also 
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