f(θ) = −1.75 cos(1/2(θ + 60°)) we can simplify this as
f(θ) = −1.75 cos([θ/2 + 30°]
The period is given by
θ/2 = 360°
θ = 720°
The amplitude is = abs [ -1.75] = 1.75
Here's the graph : https://www.desmos.com/calculator/7mhnsqww6c
This is a post that I did on this topic a year and a half ago :)
http://web2.0calc.com/questions/graphing-trig-functions_1#rr2
and here is another by Alan
http://web2.0calc.com/questions/can-anyone-remember-the-formulas-of-period-phase-shift-and-range-of-the-sin-function#r5