UGA Trio UB/UBMS Precalc 6-17-2025


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Class Notes

PDF (cleaned up) for 6-18

Homework

[example] [extitle]Problem 1.[/extitle]

Find the exact values of $\sin\theta$, $\cos\theta$, and $\tan\theta$ given the following picture:

[/example]

[example] [extitle]Problem 2.[/extitle]

Find the exact values of $\sin\theta$, $\cos\theta$, and $\tan\theta$ given the following picture:

[/example]

[example] [extitle]Problem 3.[/extitle]

Use a calculator IN DEGREES MODE to evaluate the following:

  • $\sin 22^\circ$
  • $\tan 51^\circ$ [/example]

[example] [extitle]Problem 4.[/extitle]

Given $\cos\theta = 7/12$, find $\sin\theta$ and $\cos\theta$. Do NOT use inverse trig for this problem. Sketch a right triangle. [/example]

[example] [extitle]Problem 5.[/extitle]

Given $\tan \theta = 5$, find $\sin\theta$ and $\cos\theta$. Do NOT use inverse trig for this problem. Sketch a right triangle.

Hint: Rewrite $5$ as $5/1$. [/example]

[example] [extitle]Problem 6.[/extitle]

Solve the following right triangle:

[/example]

[example] [extitle]Problem 7.[/extitle]

A $20$-foot-tall ladder leans against a building so that the angle between the ground and the ladder is $72^\circ$. How high does the ladder reach on the building? [/example]