Question bank: Trigonometric Function: Periodicity

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Question 1:

Easy

What is the period of the trigonometric function f(x) = cos(2x)?

Trigonometric Function: Periodicity

Question 2:

Medium

What is the periodicity of trigonometric functions?

Trigonometric Function: Periodicity

Question 3:

Medium

In a coastal city, the tide height is a function of time and can be modeled using a trigonometric function. Throughout a day, the tide height varies according to a function of time where A, B, C, and D are constants specific to this city and h is the hour of the day (0 ≤ h ≤ 24). The tide heights in this city have an amplitude of 4 meters and reach the maximum height at 6 in the morning.

Trigonometric Function: Periodicity

Question 4:

Medium

A ferris wheel has a radius of 10 meters and completes a full circular motion every 2 minutes. A seat of the ferris wheel is initially at a height of 12 meters above the ground. Consider the function that describes the height (in meters) of a seat as a function of time (in minutes), h(t) = 10sin(πt) + 12. Determine the period of this function and at what time t the seat will be at a height of 20 meters.

Trigonometric Function: Periodicity

Question 5:

Medium

What is the periodicity of the trigonometric function f(x) = sin(2x)?

Trigonometric Function: Periodicity

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