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

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Last updated about 2 hours ago
38 questions
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40
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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.

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.

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
Question 6
6.

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

Question 7
7.

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

  • 35
  • 12
  • 37
  • Hypotenuse
  • Opposite side to C
  • Adjacent side to C
Question 8
8.

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

Question 9
9.

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

Draggable itemarrow_right_altCorresponding Item
13
arrow_right_alt
opposite
5
arrow_right_alt
adjacent
12
arrow_right_alt
hypotenuse
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.

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

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.

Which trig ratio should you use to solve for theta?

Question 23
23.

Which trig ratio should you use to solve for y?

Question 24
24.

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

Question 25
25.

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

Question 26
26.

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

Question 27
27.

What is the tan J?

Question 28
28.

Match the trig function with the correct ratio of sides


Draggable itemarrow_right_altCorresponding Item
tan A
arrow_right_alt
arrow_right_alt
arrow_right_alt
arrow_right_alt
Question 29
29.

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

Question 30
30.

  • Item 2
Question 31
31.

Question 32
32.

Which Trigonometry Function would you use to solve for x?

Question 33
33.

Which Trigonometry Function would you use to solve for x?

Question 34
34.

Which Trigonometry Function would you use to solve for x?

Question 35
35.

What is the difference between sine and cosine?

Question 36
36.

Which trig ratios uses the hypotenuse and adjactent side?

Question 37
37.

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

Question 38
38.

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

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
What is the cos C?
cos A
sin A
tan C
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).



1.875
Item 1
.5333
.8824
.4706
tan A
tan C
cos C
sin C
Match EVERY trig function with the correct ratio. (All trig functions will be matched)
cos 50
tan A
cos A
sin 50
sin 40
tan B
sin B
Tan 50
cos 40
tan 40
sin A
cos B