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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

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

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10
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This video will help you to solve the missing values of any right triangle.

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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.

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1.

What is the value of sin B ? (fraction)

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2.

What is the value of tan A ? (fraction)

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3.

What is the value of cos B ? (fraction)

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

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4.

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

Draggable itemarrow_right_altCorresponding Item

cos 12

arrow_right_alt

.5774

sin 45

arrow_right_alt

.5

tan 89

arrow_right_alt

.8660

cos 61

arrow_right_alt

1

sin 56

arrow_right_alt

.7071

tan 45

arrow_right_alt

.9748

sin 30

arrow_right_alt

57.2897

cos 30

arrow_right_alt

.4848

tan 73

arrow_right_alt

.8290

tan 30

arrow_right_alt

3.2709

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5.

Simplify the folllowing expressions to its decimal equivalent rounded to the nearest four decimal places . (Use a calculator)

Draggable itemarrow_right_altCorresponding Item

arrow_right_alt

9.2376

47(cos 30)

arrow_right_alt

6.5

arrow_right_alt

40.7032

arrow_right_alt

.0589

2.5(tan 45)

arrow_right_alt

2.5

(12.2)cos 61

arrow_right_alt

0.0152

16(tan 30)

arrow_right_alt

88.0184

arrow_right_alt

5.9147

21tan 73

arrow_right_alt

53.6127

13sin 30

arrow_right_alt

68.6879

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6.

Solve the equation:

Round your answer to the nearest hundredth.

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7.

Solve the equation:

Round your answer to the nearest hundredth.

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8.

Solve the equation:

Round your answer to the nearest hundredth.

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9.

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

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10.

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

  1. height of plane=866.03 m

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11.

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

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12.

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

  1. height of tree=62.93 feet

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13.

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

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

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14.

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

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15.

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

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

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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

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17.

Find each acute angle measure, to the nearest degree:

m∠P

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18.

Find each acute angle measure, to the nearest degree:

m∠Q

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19.

Find each acute angle measure, to the nearest degree:

m∠U

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20.

Find each acute angle measure, to the nearest degree:

m∠W

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21.

Find each acute angle measure, to the nearest degree:

m∠1

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22.

Find each acute angle measure, to the nearest degree:

m∠2

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23.

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24.