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 (4/14/24)
Using Pythagorean Theorem to Find Missing Lengths
Required
5
Question 1
1.
Use the Pythagorean Theorem to find x. Round your answer to the nearest tenth.
x=_______
Required
5
Question 2
2.
Use the Pythagorean Theorem to find x. Round your answer to the nearest tenth.
x=_______
Required
5
Required
5
Required
5
Required
15
Required
15
Required
15
Required
10
Required
10
Required
10
Required
10
Required
10
Required
10
Required
5
Required
5
Required
5
Required
10
Required
10
Required
10
Required
10
10
Required
10
Required
10
Required
10
Required
5
Required
10
Required
10
Required
10
Required
10
Required
1
Required
18
Required
10
Required
10
Required
10
Required
10
Required
10
Required
10
Required
10
Required
30
Trigonometric Functions
Question 3
3.
Using a triangle, draw an example of a sine ratio.
Question 4
4.
Using a triangle, draw an example of a cosine ratio.
Question 5
5.
Using a triangle, draw an example of a tangent ratio.
Question 6
6.
Find the 3 trigonometric function for θ. Give each trig ratio as a fraction in simplest form.
sin θ=_______
cos θ=_______
tan θ=_______
Question 7
7.
Find the 3 trigonometric function for θ. Give each trig ratio as a fraction in simplest form.
sin θ=_______
cos θ=_______
tan θ=_______
Question 8
8.
Find the 3 trigonometric function for θ, Give each trig ratio as a fraction in simplest form.
sin θ=_______
cos θ=_______
tan θ=_______
Question 9
9.
Give each trig ratio as a fraction in simplest form.
Sin Q
Question 10
10.
Give each trig ratio as a fraction in simplest form.
Cos Q
Question 11
11.
Give each trig ratio as a fraction in simplest form.
Tan Q
Question 12
12.
Give each trig ratio as a fraction in simplest form.
sin R
Question 13
13.
Give each trig ratio as a fraction in simplest form.
Cos R
Question 14
14.
Give each trig ratio as a fraction in simplest form.
Tan R
Completing the Triangles
Question 15
15.
What is cos 65? (Round your answer to 2 decimal places.)
Question 16
16.
What is tan 48? (Round your answer to 2 decimal places.)
Question 17
17.
What is sin 32? (Round your answer to 2 decimal places.)
Question 18
18.
Solve for x. Round to the nearest tenth.
Question 19
19.
Solve for x. Round to the nearest tenth.
Question 20
20.
Solve for x. Round to the nearest tenth.
Question 21
21.
Solve for x. Round to the nearest tenth.
Question 22
22.
Solve for x. Round to the nearest tenth.
Question 23
23.
Solve for x. Round to the nearest tenth.
More"Completing the Triangle"
Question 24
24.
Use the Pythagorean theorem to solve for x. Round your answer to the nearest tenth.
Question 25
25.
Use the Pythagorean theorem to solve for x. Round your answer to the nearest tenth.
Question 26
26.
Find the missing side. Round your answer to the nearest tenth.
Question 27
27.
Solve for x. Round your answer to the nearest tenth.
Question 28
28.
Solve for x. Round your answer to the nearest tenth.
Question 29
29.
Solve for x. Round to the nearest hundredth.
Question 30
30.
Find KL. Round to the nearest hundredth.
Question 31
31.
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.
Using Trigonometry to Find Missing Angles
Question 32
32.
Determine which inverse trigonometric function is need to find each angle.
Question 33
33.
What inverse trigonometric function could you use to find the missing angle? (sin⁻¹, cos⁻¹, or tan⁻¹)
_______
What is the measure of θ ? (Round your answer to nearest degree)
m∠θ=_______°
Question 34
34.
What inverse trigonometric function could you use to find the missing angle? (sin⁻¹, cos⁻¹, or tan⁻¹)
_______
What is the measure of θ ? (Round your answer to nearest degree)
m∠θ=_______°
Question 35
35.
What inverse trigonometric function could you use to find the missing angle? (sin⁻¹, cos⁻¹, or tan⁻¹)
_______
What is the measure of θ ? (Round your answer to nearest degree)
m∠θ=_______°
Question 36
36.
What inverse trigonometric function could you use to find the missing angle? (sin⁻¹, cos⁻¹, or tan⁻¹)
_______
What is the measure of θ ? (Round your answer to nearest degree)
m∠θ=_______°
Question 37
37.
What inverse trigonometric function could you use to find the missing angle? (sin⁻¹, cos⁻¹, or tan⁻¹)
_______
What is the measure of θ ? (Round your answer to nearest degree)
m∠θ=_______°
Question 38
38.
What inverse trigonometric function could you use to find the missing angle? (sin⁻¹, cos⁻¹, or tan⁻¹)
_______
What is the measure of θ ? (Round your answer to nearest degree)
m∠θ=_______°
Question 39
39.
What inverse trigonometric function could you use to find the missing angle? (sin⁻¹, cos⁻¹, or tan⁻¹)
_______
What is the measure of θ ? (Round your answer to nearest degree)
m∠θ=_______°
Question 40
40.
You have right triangle ABC with the right angle at C.
You're given:
Side AC = 9 units
Side BC = 12 units
Angle C = 90°
🔍 Tasks:
Find the length of AB (the hypotenuse)._______
Find angle A (rounded to the nearest tenth of a degree)._______
Find angle B (rounded to the nearest tenth of a degree)._______