Intro to Trigonometry: Practice Problems

Resources: Link

Trig Definitions

Write the following in terms of $\sin (\theta)$ and $\cos (\theta)$:

• $\tan(\theta)$
• $\csc(\theta)$
• $\sec(\theta)$
• $\cot (\theta)$

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Evaluating Trigonometric Functions Using the Unit Circle

Evaluate each of the following. You can use the unit circle above.

• $\sin(\frac{\pi}{4})$
• $\cos(-\frac{3\pi}{4})$
• $\tan (\frac{\pi}{6})$
• $\csc(\frac{2\pi}{3})$
• $\sec(3 \pi)$
• $\cot(\frac{5\pi}{6})$

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Trig Function Rages

• What is the domain and range of the sine function?
• What is the domain and range of the cosine function?
• What is the domain and range of the tangent function?
• What is the domain and range of the secant function?
• What is the domain and range of the cosecant function?

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Using the Unit Circle

Find the ordered pair for the point of the unit circle associated with $\theta=\frac{5\pi}{4}$

Find the equation of the line that interescts the unit circle at $\theta=\pi$ and $\theta=\frac{\pi}{3}$