Question

If sin θ = 3 over 7 and tan θ < 0, what is the value of cos θ?

Answer 1

at which quadrant sin is positive

Answer 2

First

Answer 3

remember that CAST rule for signs

Answer 4

yes first and ?

Answer 5

Oh and second

Answer 6

yes right
sin positive in 1st and 2nd quadrant
given is tan < 0 is is less than 0
so at which quadrant you should draw a right triangle ?

Answer 7

second?

Answer 8

yes right
tan is negative in 2nd quadrant <0
draw a right triangle \[\rm sin \rm \theta = \frac{ opposite }{ hypotenuse }~~~~ \cos \theta = \frac{ adjacent }{ hypotenuse } ~~\tan \theta = \frac{ opposite }{ adjacent }\]