Solving a trigonometric equation

Question

A point on an industrial flywheel experiences a motion described by the function h(t)=13cos(pi/0.35)t + 15.

 

What is the general solution for the time it takes to reach maximum height?

 

 

 

 

 

 

Answer 1

Max. ht. is attained when the cosine value is 1. That requires the argument to be any multiple of 2(pi), including even zero;

 

solve (pi/0.35)t = k(2)(pi) where k is ANY integer.