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Angle Conversion with Trigs - Trignometry - Practice Problems, Exercises of Trigonometry

Anna UniversityTrigonometry

It is the Practice Problems of Trignometry which includes Problems of Statements, Linear Trigs functions, Inequality Problem Functions etc. Key important points are: Angle Conversion with Trigs, Circles and Triangles, Graphical Problems, Decimal Dgrees, Minutes, Seconds

Typology: Exercises

2012/2013

Uploaded on 02/06/2013

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Trigonometry Chapter 1A Name___________________
Chapter 1A Review Worksheet
Calculator Part
Simplify and rationalize all answers.
Convert the angles to decimal degrees. Round to three decimal places.
1.
28 36'28"
2.
103 4'15"
3.
16 22'41"−
Convert the angles to degrees, minutes, and seconds.
4.
36.3852
5.
127.1243
6.
132.1582−
Sketch each angle in standard position. Find the measure of two other angles, one positive, one
negative that are coterminal with the given angle.
7.
827
8.
542−
Do the lengths form a right triangle? Justify your answer.
9. 5, 11, 12 10.
6,2 13,4
Use a calculator to find each value. Give your answer to three decimal places.
11.
sin85 40′
12.
cot 242 41′
13.
sec21.345
Use a calculator to find each value of
, give your answer to three decimal places.
14.
cos .1537
θ
=
15. sec
θ
= 1.683 16. csc
θ
= 6.234
pf3
pf4

Partial preview of the text

Download Angle Conversion with Trigs - Trignometry - Practice Problems and more Exercises Trigonometry in PDF only on Docsity!

TrigonometryChapter 1A Review Worksheet Chapter 1A Name___________________ Calculator Part Simplify and rationalize all answers. Convert the angles to decimal degrees. Round to three decimal places.

  1. 28 36 '28"^ 2. 103 4 '15"^ 3. −16 22 '41" 

Convert the angles to degrees, minutes, and seconds. 4. (^) 36.3852 (^) 5. (^) 127.1243 (^) 6. (^) −132.1582 

Sketch each angle in standard position. Find the measure of two other angles, one positive, onenegative that are coterminal with the given angle.

  1. 827 ^ 8. − 542 

Do the lengths form a right triangle? Justify your answer. 9. 5, 11, 12 10. (^) 6, 2 13, 4

Use a calculator to find each value. Give your answer to three decimal places. 11. sin 85 40 (^) ′ 12. cot 242 41 (^) ′ 13. sec 21.345

Use a calculator to find each value of 14. cos θ = .1537 15. sec θ , give your answer to three decimal places. θ = 1.683 16. csc θ = 6.

Find the missing parts of the right triangle. Round your answers to three decimal places. (C isthe right angle)

  1. B = 29 , bo = 23 18. a = 14, b = 17 a c B

c A B

  1. Find the length of a guy wire that makes an angle ofto the top of a tower 63 meters high. (^) 45 30 '^ with the ground if the wire is attached
  2. A building that is 28 meters tall casts a 40.6 meter shadow on the ground. Find the angle ofelevation of the sun.
  3. A kite string is 185 meters long and makes and angle ofaltitude of the kite? 36 ^ with the horizontal. What is the
  4. The angle of depression from the top of a cliff, 800 meters high to the base of a log cabin isHow far is the cabin from the foot of the cliff? 37 20 '^.
  5. The Eiffel Tower is Paris casts a shadow 150 meters long when the angle of elevation of the sun 63 26 ' (^). Find the height of the tower.

Give the exact trigonometric function value in each of the following. DO NOT USE ACALCULATOR—NO DECIMAL ANSWERS.

  1. tan 45 ^ 12. sin 120 ^ 13. cos 150 
  2. csc 270 ^ 15. sin 90 ^ 16. cot 180 
  3. tan 330 ^ 18. sin 300 ^ 19. cos 225 
  4. csc 240 ^ 21. sin 360 ^ 22. cot 210 