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Rates of Change of Trigonometric Functions

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Wize High School Grade 12 Pre-Calculus Textbook > Rates of Change

Rates of Change of Trigonometric Functions

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Practice: Rates of Change of Trigonometric Functions

Cary set out on his bicycle to begin training for the Gran Fondo. The following represents the displacement of the bicycle from the starting point in km:

d(t)=sin⁡(7π6t)d(t)=\sin\Big(\dfrac{7\pi{}}{6}t\Big)
More Rates of Change of Trigonometric Functions Questions:
Rates of Change of Trigonometric Functions
Practice: Rates of Change of Trigonometric Functions
Let y=−cos⁡θy=-\cos{\theta}.
Rates of Change of Trigonometric Functions
Practice: Rates of Change of Trigonometric Functions
Let y=sin⁡2θy=\sin{2\theta}.
Rates of Change of Trigonometric Functions
Practice: Rates of Change of Trigonometric Functions
A yo-yo oscillates and d(t)=cos⁡(11π6t)d(t)=\cos\Big(\dfrac{11\pi{}}{6}t\Big) represents the displacement of the yo-yo in meters.
Rates of Change of Trigonometric Functions
Practice: Rates of Change of Trigonometric Functions
Determine the average rate of change of the function f(θ)=tan⁡(π−4θ)f(\theta)=\tan(\pi-4\theta) on the interval −π4≤θ≤2π3-\dfrac{\pi}{4}\leq{}\theta\leq{}\dfrac{2\pi}{3}.
Rates of Change of Trigonometric Functions
Practice: Rates of Change of Trigonometric Functions
Determine the average rate of change of the function f(θ)=sin⁡(2θ+3π)+1f(\theta)=\sin(2\theta+3\pi)+1 on the interval π6≤θ≤5π6\dfrac{\pi}{6}\leq{}\theta\leq{}\dfrac{5\pi}{6}.