Solve for sine tangent and secant of theta

Question

The point P (1,-√3) is on the terminal side of an angle (theta) θ in standard position. P lies on a circle with center at the origin

Answer 1

Draw a little sketch; this angle θ = -pi/3 radians...because the reference triangle is 30-60-90^o shape.

 

cos θ = ½, sin θ = -√(3)/2, tan θ = -√3, cos θ = 2.