Question

Find the value of tan θ for the angle shown.
(PICTURE BELOW)

Answer Choices:
tan θ = negative square root of thirty-three divided by four
tan θ = negative four times square root of thirty-three divided by thirty-three
tan θ = negative four-sevenths
tan θ = negative square root of thirty-three divided by seven

Answer 1

tan will equal the y value divided by the x value
i.e. opp/adj is y/x in this problem where (x,y) is the point shown

Answer 2

\[-4\div \sqrt{33}\] isn't an answer for me and I'm not too sure what to do?

Answer 3

they probably want you to rationalize the denominator

Answer 4

take \[-\frac{4}{\sqrt{33}}\times \frac{\sqrt{33}}{\sqrt{33}}\] to get it

Answer 5

\[-4\sqrt{33}\div33\] ?

Answer 6

yup

Answer 7

that a choice?

Answer 8

Yes it is

Answer 9

whew!

Answer 10

Lol, thnk you for your help!