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Laabri

Copy of #12 Similarity in Right Triangles (7/13/20) Due 7/16/20 @3pm (5/21/2024)

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Essential Question: What are the three main trigonometric relationships in a right triangle.

Learning Target: Students will be able to create the trigonometric functions: tangent, sine, and cosine, and apply them to solve real-world problems.

Show all work and use complete sentences for credit.

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1.

Describe in your own words what a ratio is and use the "show your work" canvas to provide an example.

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2.
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3.

According to the video, all trigonometric functions involve the ratio of the sides of ________ triangles.

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4.

According to the video, the longest side of a right triangle is called the ___________.

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5.

Put the side lengths into the correct category based on their relationship to angle A

  • 37

  • 12

  • 35

  • Hypotenuse

  • Opposite side to A

  • Adjacent side to A

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6.

What is the ratio of sin A (express you answer as a fraction)

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7.

Put the side lengths into the correct category based on their relationship to ∠C (angle C)

  • 12

  • 35

  • 37

  • Hypotenuse

  • Opposite side to C

  • Adjacent side to C

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8.

What is the ratio of cos A. (express you answer as a fraction)

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9.

Match the sides based on their relationship to ∠A (angle A)

Draggable itemarrow_right_altCorresponding Item

12

arrow_right_alt

opposite

13

arrow_right_alt

adjacent

5

arrow_right_alt

hypotenuse

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10.

Enter the ratio equivalent to tan(A).

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11.

Enter the ratio equivalent to cos(B).

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12.

Enter the ratio equivalent to sin(A).

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13.

Which pair of expressions are equal to 15/17?

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14.

Select two trigonometric functions that are equivalent to the ratio x/y.

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15.

In right triangle ABC with C is the right angle, sin B = 3/5 and cos B = 4/5, what is tan B?

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16.

What is the cos C?

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17.

What is the ratio for sine? (Use "opp", "hyp", and "adj".)

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18.

What is the ratio for cosine? (Use "opp", "hyp", and "adj".)

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19.

What is the ratio for tangent? (Use "opp", "hyp", and "adj".)

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20.

sin A = ? (fraction)

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21.

tanB = ? (fraction)

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22.

Which trig ratio should you use to solve for theta?

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23.

Which trig ratio should you use to solve for y?

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24.

What two sides of a right triangle are compared when using sine?

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25.

What two sides of a right triangle are compared when using cosine?

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26.

What two sides of a right triangle are compared when using tangent?

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27.

What is the tan J?

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28.

Match the trig function with the correct ratio of sides

Draggable itemarrow_right_altCorresponding Item

sin A

arrow_right_alt

cos A

arrow_right_alt

tan A

arrow_right_alt

tan C

arrow_right_alt

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29.

Match the ratio of sides with the correct trig function. (Some numbers will be used more than once)

  • sin B

  • cos B

  • tan A

  • tan B

  • cos A

  • sin A

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30.

Match the ratio of sides (in fraction and decimal form) with the correct trig function. (Some numbers will be used more than once).

  • 1.875

  • .8824

  • .4706

  • Item 2

  • Item 1

  • .5333

  • tan A

  • tan C

  • cos C

  • sin C

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31.

Match EVERY trig function with the correct ratio. (All trig functions will be matched)

  • sin B

  • sin A

  • Tan 50

  • cos 50

  • cos B

  • sin 50

  • cos 40

  • tan 40

  • tan B

  • cos A

  • tan A

  • sin 40

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32.

Which Trigonometry Function would you use to solve for x?

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33.

Which Trigonometry Function would you use to solve for x?

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34.

Which Trigonometry Function would you use to solve for x?

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35.

What is the difference between sine and cosine?

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36.

Which trig ratios uses the hypotenuse and adjactent side?

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37.

In any right triangle ABC, where C is the right angle, the sine of B is the same as the cosine of A.

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38.

The opposite side of a triange is always the side across from the reference angle.