8.1 Algebra 2 Trig Lesson Day 2: 5 Slides

5 Slides • 4 Questions

1

8.1 Algebra 2 Trig Lesson Day 2

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How do you find missing sides of a right triangle?

Label the sides given the trig ratio
Use Pythagorean theorem to find missing third side

3

Example 1:
In the following figure, $\tan\left(x\right)=\frac{5}{12}$ , find the exact values $\sin\left(x\right)$ of and $\cos\left(x\right)$ .
Label the sides of the triangle with $\tan\left(x\right)=\frac{5-opposite}{12-adjacent}$

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Use Pythagorean Theorem to find the hypotenuse

$5^{2\ }+12^2=c^2$
$169=c^2$
$\sqrt{169}=13=c$

5

Find $\sin\left(x\right)\ and\ \cos\left(x\right)$

$\sin\left(x\right)=\frac{5}{13}$
$\cos\left(x\right)=\frac{12}{13}$

6

Multiple Choice

$Given\csc\left(x\right)=\frac{5}{4},\$ find the missing side of the triangle. Hint: Label the triangle and find the missing side using pythagorean theorem.

1

$\sqrt{41}$

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3

4

7

Multiple Choice

Given the same triangle,
find $\tan\left(x\right)$

1

$\frac{3}{4}$

2

$\frac{4}{3}$

3

$\frac{5}{4}$

4

$\frac{3}{5}$

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Multiple Choice

Hint: Label the triangle and use pythagorean theorem to find the missing side

1

$\frac{5}{3}$

2

$\frac{5}{4}$

3

$\frac{4}{3}$

4

$\frac{3}{5}$

9

Multiple Choice

Hint: Find the missing side using Pythagorean theorem.

1

$\frac{4}{3}$

2

$\frac{4}{5}$

3

$\frac{3}{4}$

4

$\frac{5}{3}$

8.1 Algebra 2 Trig Lesson Day 2

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