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Trigonometry Basics Worksheets: Angles, Conversions, and Sector Areas, Lecture notes of Trigonometry

The Royal Conservatoire of Scotland (RCS)Trigonometry

A series of worksheets designed to help students practice various aspects of trigonometry, including identifying angles in different quadrants, converting degrees to radians and vice versa, and calculating arc lengths and sector areas.

What you will learn

Find the decimal equivalent of –133°24′32″.
Convert 260° to radians.
What are the positive and negative angles coterminal with –30°?

Find the area of the sector with a radius of 6 m and an angle of 60°.
What is the length of the arc of a circle with a radius of 2.5 rad and an angle of 4 ft?

Typology: Lecture notes

2021/2022

Uploaded on 09/27/2022

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Worksheet #1 Trig Basics

Worksheet #1 Trigonometry Basics Name _________________

Getting to Know All the Angles Date ________ Period ___

Sketch the indicated angle.

1. Quadrant III, positive 2. Quadrant II, negative

3. Quadrant I, negative, <360 4. Quadrant IV, positive, >720

5. 60 6. –225 7. –400 8. 750

Find one positive and one negative angle coterminal with the given angle. Sketch all

three angles.

9. –30 10. 135 11. 500 12. –570

Partial preview of the text

Download Trigonometry Basics Worksheets: Angles, Conversions, and Sector Areas and more Lecture notes Trigonometry in PDF only on Docsity!

Getting to Know All the Angles Date ________ Period ___

Sketch the indicated angle.

Quadrant III, positive 2. Quadrant II, negative
Quadrant I, negative, <360 4. Quadrant IV, positive, >720

Find one positive and one negative angle coterminal with the given angle. Sketch all three angles.

– 30  10. 135 11. 500 12. – 570 

DMS or Decimal Date ________ Period ___

Complete the table. SHOW ALL WORK in the middle column.

DMS Work Decimal

Find one positive and one negative angle coterminal with the given angle. Sketch all three angles.

a. 4

 b.^2

 c.^7

 d.^5

e.^7 12

 f.^8

 g.^19

 h.^17



i.^25 4

 j.^10

 k. 1 l. – 2

6 7

Arc Lengths and Sector Areas Date ________ Period ___

Find the angle in radians, and then find the area of the sector.

a. b.

Complete the table.

Radius Central Angle Work (^) LengthArc^ Sector Area

15 in 60°

6 m 2.5 rad

4 ft 9 ft

225° 70.7 yd^2

6.4 cm 10.24 cm^2