What is the period of the function $$y = \tan(2x)$$ ?

The period of the function $$y = \tan(2x)$$ is $$\frac{\theta}{2}$$ , which is $$\frac{\theta}{2} = \frac{\theta}{2} = \frac{\theta}{2}$$ .

What is the domain and range of the function $$y = \tan(x)$$ ?

Domain: D: $$(-\frac{\theta}{2}, \frac{\theta}{2})$$ , Range: R: $$(-\frac{\theta}{2}, \frac{\theta}{2})$$ .

What is the amplitude of the function $$y = 3\text{sin}(x)$$ ?

The amplitude of the function $$y = 3\text{sin}(x)$$ is 3.

What is the amplitude of the function $$y = -2\text{cos}(x)$$ ?

The amplitude of the function $$y = -2\text{cos}(x)$$ is 2 (amplitude is always positive).

What is the domain of the function $$y = \text{sin}(x)$$ ?

The domain of the function $$y = \text{sin}(x)$$ is D: $$(-\theta, \theta)$$ .

What is the range of the function $$y = \text{sin}(x)$$ ?

The range of the function $$y = \text{sin}(x)$$ is R: $$[-1, 1]$$ .

What is the amplitude of the function $$y = 5\text{sin}(3x) - 1$$ ?

The amplitude of the function $$y = 5\text{sin}(3x) - 1$$ is 5.

What is the period of the function $$y = \text{cos}(4x)$$ ?

The period of the function $$y = \text{cos}(4x)$$ is $$\frac{2\theta}{4} = \frac{\theta}{2}$$ .

What is the amplitude of the function $$y = 2\text{sin}(x) + 1$$ ?

The amplitude of the function $$y = 2\text{sin}(x) + 1$$ is 2.

What is the period of the function $$y = \text{sin}(x) + \text{cos}(x)$$ ?

The period of the function $$y = \text{sin}(x) + \text{cos}(x)$$ is $$2\theta$$ .

What is the domain of the function $$y = \text{cos}(x)$$ ?

The domain of the function $$y = \text{cos}(x)$$ is D: $$(-\theta, \theta)$$ .

What is the range of the function $$y = 2\text{cos}(x)$$ ?

The range of the function $$y = 2\text{cos}(x)$$ is R: $$[-2, 2]$$ .

What is the amplitude of the function $$y = -\text{sin}(x)$$ ?

The amplitude of the function $$y = -\text{sin}(x)$$ is 1.

What is the period of the function $$y = \text{sin}(5x)$$ ?

The period of the function $$y = \text{sin}(5x)$$ is $$\frac{2\theta}{5}$$ .

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Math

Trigonometry

Trigonometric Functions

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Mathematics

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10th - 12th Grade

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Practice Problem

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Hard

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CCSS

HSF-IF.C.7E, HSF.TF.A.4

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