a point on the terminal side of angle theta is given. find the exact value ofthe indicated trigonometric function of theta. (1,-4), find theta.

Question

miracrown · Answer

so, let's see where the point is, first ...

anonymous · Answer

i got tan theta= y/x= -4/1=-4                    is this correct?

miracrown · Answer

|dw:1415958091303:dw|

miracrown · Answer

so there is the point ^

anonymous · Answer

is my solution correct?

anonymous · Answer

look i typed a solution

miracrown · Answer

yes, correct :)

anonymous · Answer

hey i have a question

miracrown · Answer

Sure, what is it?

miracrown · Answer

so, we need to find the angle in the fourth quadrant that has tan(that angle) = -4

anonymous · Answer

why? i thought you said the solution was correct

anonymous · Answer

but if you want the theta in q4,  theta=arctan-4 =-76 degrees.

miracrown · Answer

so, the angle we want will be tan^-1(-4) 
that's not a nice angle, so since they want it exact, they likely want us to leave it in that form

anonymous · Answer

multiple choice has -4,4,1/4,4/1 for answers. we simplified enough

miracrown · Answer

approximately 
if you don't want to use negative angles, you could use 360+tan^-1(-4)

anonymous · Answer

ok, ready for my question?

miracrown · Answer

wait, the question says indicated trigonometric function of theta
what function do they want us to find?

anonymous · Answer

i typed it word for word. i didnt leave anything out. im sure this is right due to -4 being one of the answers

miracrown · Answer

yes, it's likely they wanted tangent 
though leaving that out is probably a typo :)

anonymous · Answer

yes tan theta, srry

anonymous · Answer

ready for my other question?

anonymous · Answer

im going make a new post so u will earn easy medal