Question

Find tan θ if cos θ =1/4 and sin θ < 0.

Answer 1

help me!!

Answer 2

if cos (theta)= 1/4
then the adjacent side = 1
the hypotenuse side = 4
so the opposite side = ...

Answer 3

are u there?

Answer 4

yes!!

Answer 5

find the opposite side using pythag

Answer 6

so 4?

Answer 7

no opposite, not hypotenuse!
\[\sqrt{4^2-1^2}\]

Answer 8

so sqrt15?

Answer 9

yes.
Now you know all three sides:
adj=1
opp=sqrt15
hyp=4

Answer 10

tan (theta)=opp/adj

Answer 11

sqrt15/1?

Answer 12

yes, but now you need to determine if it's positive or negative

Answer 13

negative!

Answer 14

so -sqrt(15)?

Answer 15

how do you know that?