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
30 points
30
Question 1
1.
Notes for Pythagorean Theorem and Special Right Triangles
Required
5 points
5
Question 2
2.
Use the Pythagorean Theorem and Special Right Triangles notes to find x.
x=_______
Required
5 points
5
Question 3
3.
Use the Pythagorean Theorem and Special Right Triangles notes to find x.
x=_______
Required
5 points
5
Question 4
4.
Use the Pythagorean Theorem and Special Right Triangles notes to find x.
x=_______
y=_______
Required
5 points
5
Question 5
5.
Use the Pythagorean Theorem and Special Right Triangles notes to find x.
x=_______
y=_______
Required
5 points
5
Question 6
6.
Use the Pythagorean Theorem and Special Right Triangles notes to find x.
x=_______
y=_______
Required
5 points
5
Question 7
7.
Use the Pythagorean Theorem and Special Right Triangles notes to find x.
x=_______
y=_______
Day 2 (5/24/24)
Trigonometric Functions
Required
10 points
10
Question 8
8.
Take notes on the three main trigonometric functions.
Required
10 points
10
Question 9
9.
Find the 3 trigonometric function for θ, Give each trig ratio as a fraction in simplest form.
sin θ=_______
cos θ=_______
tan θ= _______
Required
10 points
10
Question 10
10.
Find the 3 trigonometric function for θ, Give each trig ratio as a fraction in simplest form.
sin θ=_______
cos θ=_______
tan θ= _______
Required
10 points
10
Question 11
11.
Find the 3 trigonometric function for θ, Give each trig ratio as a fraction in simplest form.
sin θ=_______
cos θ=_______
tan θ=_______
Required
5 points
5
Question 12
12.
Draw an example of a sine ratio.
Required
5 points
5
Question 13
13.
Draw an example of a cosine ratio.
Required
1 point
1
Question 14
14.
Draw an example of a tangent ratio.
Required
10 points
10
Question 15
15.
Give each trig ratio as a fraction in simplest form.
Sin Q
Required
10 points
10
Question 16
16.
Give each trig ratio as a fraction in simplest form.
Cos Q
Required
10 points
10
Question 17
17.
Give each trig ratio as a fraction in simplest form.
Tan Q
Required
10 points
10
Question 18
18.
Give each trig ratio as a fraction in simplest form.
sin R
Required
10 points
10
Question 19
19.
Give each trig ratio as a fraction in simplest form.
Cos R
Required
10 points
10
Question 20
20.
Give each trig ratio as a fraction in simplest form.
Tan R
Completing the Triangles
Required
5 points
5
Question 21
21.
What is tan 48? (Round your answer to 4 decimal places.)
Required
5 points
5
Question 22
22.
What is cos 65? (Round your answer to 4 decimal places.)
Required
5 points
5
Question 23
23.
What is sin 32? (Round your answer to 4 decimal places.)
Required
10 points
10
Question 24
24.
Solve for x. Round to the nearest tenth.
Required
10 points
10
Question 25
25.
Solve for x. Round to the nearest tenth.
Required
10 points
10
Question 26
26.
Solve for x. Round to the nearest tenth.
Required
10 points
10
Question 27
27.
Solve for x. Round to the nearest tenth.
10 points
10
Question 28
28.
Solve for x. Round to the nearest tenth.
Required
10 points
10
Question 29
29.
Solve for x. Round to the nearest tenth.
More"completing the triangle"
Required
10 points
10
Question 30
30.
Use the Pythagorean theorem to solve for x.
Required
10 points
10
Question 31
31.
Use the Pythagorean theorem to solve for x.
Required
5 points
5
Question 32
32.
Find the missing angle.
Required
5 points
5
Question 33
33.
Find the missing angle.
Required
10 points
10
Question 34
34.
Solve for x. Round to the nearest hundredth.
Required
10 points
10
Question 35
35.
Solve for x. Round to the nearest hundredth.
Required
10 points
10
Question 36
36.
Solve for x. Round to the nearest hundredth.
Required
10 points
10
Question 37
37.
Find KL. Round to the nearest hundredth.
Required
10 points
10
Question 38
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.