how to evalute the expression under the given condition?

Question

sin( θ-Φ): tan=3/4 ,  θ in quadrant IV, tan Φ=- sqt 3  in Quadrant II.

 

please and thank you

Answer 1

sin( θ-Φ):   tan  θ =3/4 , θ in quadrant IV, tan Φ=- √3 in Quadrant II.

 

Note that I inserted the argument theta where it possibly belongs...but then that's not possible because in Quadrant IV tangents are all negative.

 

Therefore I have concluded that this problem should be fixed by the student.