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Laabri

8.4 Trignometric Functions (Due 5/23/24)

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Essential Question:  What are trigonometric functions? Learning Target: Students will be able to apply the three basic trigonometric functions to complete a triangle. Complete the entire document and show all work for full credit.

Day 1 (5/23/24)

Pythagorean Theorem and Special Right Triangles

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Day 2 (5/24/24)

Trigonometric Functions

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Completing the Triangles

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1.

Notes for Pythagorean Theorem and Special Right Triangles

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2.
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3.
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5.
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6.
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7.
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8.

Take notes on the three main trigonometric functions.

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10.
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11.
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12.

Draw an example of a sine ratio.

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13.

Draw an example of a cosine ratio.

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14.

Draw an example of a tangent ratio.

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15.

Give each trig ratio as a fraction in simplest form.

Sin Q

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16.

Give each trig ratio as a fraction in simplest form.

Cos Q

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17.

Give each trig ratio as a fraction in simplest form.

Tan Q

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18.

Give each trig ratio as a fraction in simplest form.

sin R

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19.

Give each trig ratio as a fraction in simplest form.

Cos R

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20.

Give each trig ratio as a fraction in simplest form.

Tan R

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21.

What is tan 48? (Round your answer to 4 decimal places.)

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22.

What is cos 65? (Round your answer to 4 decimal places.)

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23.

What is sin 32? (Round your answer to 4 decimal places.)

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24.

Solve for x. Round to the nearest tenth.

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25.

Solve for x. Round to the nearest tenth.

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26.

Solve for x. Round to the nearest tenth.

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27.

Solve for x. Round to the nearest tenth.

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28.

Solve for x. Round to the nearest tenth.

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29.

Solve for x. Round to the nearest tenth.

More "completing the triangle"

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30.

Use the Pythagorean theorem to solve for x.

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31.

Use the Pythagorean theorem to solve for x.

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32.

Find the missing angle.

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33.

Find the missing angle.

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34.

Solve for x. Round to the nearest hundredth.

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35.

Solve for x. Round to the nearest hundredth.

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36.

Solve for x. Round to the nearest hundredth.

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37.

Find KL. Round to the nearest hundredth.

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38.

A wire is attached from the top of a 30-foot tall telephone pole to a stake in the ground.

If the angle formed by the wire and the pole is 48°, what is the length of the wire? Round your answer to the nearest hundredth.