Given the graph of y=cos(θ + pi/2) from 0 ≤ θ ≤ 2π:
a) For what value(s) of θ does the instantaneous rate
of change appear to equal 0?
b) For what value(s) of θ does the instantaneous rate of change reach its maximum? Its minimum?
Thank you!
to make things easier, note that
y=cos(θ + pi/2) = -sinθ
The tangent lines are horizontal at the max/min points, where sinθ = ±1
The slope is greatest/least where sinθ=0