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Supplemental #14 Solving trigonometric functions part 2 (7/15/20) Due 7/16/20 @3pm

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#14 Solving trigonometric functions part 2 (7/15/20) Due 7/16/20 @3pm

Essential Question: How can we use the sides of a right triangle to find the measure of its angles?


Learning Target: Students will apply trigonometric ratios to solve the measure of the angles of a right triangle to solve real-world problems.


Show your work and use complete sentences for credit.

Watch the video below to learn about the three basic trigonometric functions.

Question 1
1.

What is the value of sin B ? (fraction)

Question 2
2.

What is the value of tan A ? (fraction)

Question 3
3.

What is the value of cos B ? (fraction)

How to use Desmos Scientific Calculator to find the value of trigonometric functions.

Question 4
4.

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Question 5
5.

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Question 6
6.

Solve the equation:


Round your answer to the nearest hundredth.

Question 7
7.

Solve the equation:



Round your answer to the nearest hundredth.

Question 8
8.

Solve the equation:



Round your answer to the nearest hundredth.


This video will help you to solve the missing values of any right triangle.

Question 9
9.

Which trigonometric ratio should you use to solve for the height of the plane?

Question 10
10.

Put the steps in the correct order to solve for the height of the plane.

  1. height of plane=866.03 m
Question 11
11.

Which trigonometric ratio should you use to solve for the height of the tree?

Question 12
12.

Put the steps in the correct order to solve for the height of the tree?

  1. height of tree=62.93 feet
Question 13
13.

Which trig ratio should you use to solve for side BC?

This how you use the Desmos Scientific calculator to simplify trig expressions
Question 14
14.

What is the length of side BC? Round your answer to the nearest hundredth. (two decimal places)


Question 15
15.

Which trig ratio should you use to solve for side BA?

This how you use the Desmos Scientific calculator to simplify trig expressions
Question 16
16.

What is the length of side BA? Round your answer to the nearest hundredth. (two decimal places)


Finding the measure of the angles of a right triangle using the the ratio of its sides

Question 17
17.

Find each acute angle measure, to the nearest degree:
m∠P



Question 18
18.

Find each acute angle measure, to the nearest degree:
m∠Q



Question 19
19.

Find each acute angle measure, to the nearest degree:
m∠U


Question 20
20.

Find each acute angle measure, to the nearest degree:
m∠W


Question 21
21.

Find each acute angle measure, to the nearest degree:
m∠1



Question 22
22.

Find each acute angle measure, to the nearest degree:
m∠2



Question 23
23.



Question 24
24.



Match the right trig function to its decimal equivalent rounded to the nearest four decimal places. (Use a calculator)




cos 12
.5774
sin 45
.5
tan 89
.8660
cos 61
1
sin 56
.7071
tan 45
.9748
sin 30
57.2897
cos 30
.4848
tan 73
.8290
tan 30
3.2709
Simplify the folllowing expressions to its decimal equivalent rounded to the nearest four decimal places . (Use a calculator)



9.2376
47(cos 30)
6.5
40.7032
.0589
2.5(tan 45)
2.5
(12.2)cos 61
0.0152
16(tan 30)
88.0184
5.9147
21tan 73
53.6127
13sin 30
68.6879