The diagram shows part of the graph y=p+3tan3x passing through the point (-pie/12 , -5) ,(0 , p) and (q ,1). Find the value of p and q.

Answer 1

If the value of x= -(pi/12), doesn't 3x= -pi/4 and isn't 3tan3x= -3

and isn't p= -2

and q=(pi/12)+(k*pi/3), k=0,+/-1,+/-2,...

and at k=1

q would be 5*pi/12

Answer 2

-5 = p + 3 tan (π/4)

-5 = p + 3 (1)

-8 = p

1 = -8 + 3 tan 3q

9 = 3 tan 3q

3 = tan 3q

1.249^r ≈ 3q

0.416^r ≈ q