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Supplemental #12 Similarity in Right Triangles (7/13/20) Due 7/16/20 @3pm

Last updated 2 months ago

38 questions

10

40

5

5

6

5

3

5

5

5

5

5

4

4

5

4

5

5

5

5

5

2

2

4

4

4

2

8

10

4

24

1

1

1

5

2

3

3

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.

Question 1

1.

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

Question 2

2.

Question 3

3.

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

Question 4

4.

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

Question 5

5.

Question 6

6.

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

Question 7

7.

Question 8

8.

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

Question 9

9.

Draggable item		Corresponding Item

Question 10

10.

Enter the ratio equivalent to tan(A).

Question 11

11.

Enter the ratio equivalent to cos(B).

Question 12

12.

Enter the ratio equivalent to sin(A).

Question 13

13.

Question 14

14.

Question 15

15.

Question 16

16.

Question 17

17.

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

Question 18

18.

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

Question 19

19.

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

Question 20

20.

sin A = ? (fraction)

Question 21

21.

tanB = ? (fraction)

Question 22

22.

Question 23

23.

Question 24

24.

Question 25

25.

Question 26

26.

Question 27

27.

Question 28

28.

Draggable item		Corresponding Item

Question 29

29.

Question 30

30.

Question 31

31.

Question 32

32.

Question 33

33.

Question 34

34.

Question 35

35.

What is the difference between sine and cosine?

Question 36

36.

Question 37

37.

Question 38

38.

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

37

35

12

Hypotenuse

Opposite side to A

Adjacent side to A

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

37

35

12

Hypotenuse

Opposite side to C

Adjacent side to C

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

12

opposite

13

adjacent

5

hypotenuse

Which pair of expressions are equal to 15/17? 

sin A

cos C

sin C

cos A

tan C

tan A

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

sin B

sin A

cos B

cos A

tan B

tan C

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

3/5

3/4

5/3

4/3

What is the cos C?

Which trig ratio should you use to solve for theta?

sine

cosine

tangent

Which trig ratio should you use to solve for y?

tangent

cosine

sine

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

Hypotenuse

Adjacent

Opposite

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

Adjacent

Opposite

Hypotenuse

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

Adjacent

Hypotenuse

Opposite

What is the tan J?

Match the trig function with the correct ratio of sides

cos A

tan C

tan A

sin A

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

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

.5333

1.875

Item 1

.8824

.4706

Item 2

tan A

tan C

cos C

sin C

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

cos 50

cos B

tan A

sin 50

cos A

tan 40

sin B

cos 40

tan B

Tan 50

sin A

sin 40

Which Trigonometry Function would you use to solve for x? 

cos 59

tan 59 

sin 59

Which Trigonometry Function would you use to solve for x?

sin 16

cos 16

tan 16

Which Trigonometry Function would you use to solve for x?

sin 22

tan 22

cos 22

Which trig ratios uses the hypotenuse and adjactent side?

Cosine

Sine

Tangent

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

True

False

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

True

False