1 / 10

4.1-4.3A Quiz Review

This quiz review covers topics such as coterminal angles, converting between radians and degrees, complementary and supplementary angles, arc length, area of a sector, angular and linear speed, and the first quadrant of the unit circle.

gatto
Download Presentation

4.1-4.3A Quiz Review

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. 4.1-4.3A Quiz Review The quiz has a non-calculator portion (13 questions) and a calculator portion (4 questions). You will need to finish the quiz by the end of the period. Bring something to work on silently in case you finish early. There will be a fill-in-the-blank vocabulary section. The following terms are possibilities for that section: vertex, initial side, terminal side, standard position, coterminal angles, complementary angles, supplementary angles, sector, unit circle.

  2. Quiz Topics Coterminal angles Converting between radians and degrees Complementary & supplementary angles Arc length Area of a sector Angular and linear speed The first quadrant of the unit circle Finding the six trig functions of the milepost angles

  3. Coterminal Angles • If the angle is given in degrees, add or subtract multiples of 360 to find a coterminal angle. Ex: Find a negative angle which is coterminal with 480. • If the angle is given in radians, add or subtract multiples of to find a coterminal angle. Ex: Find a positive angle which is coterminal with .

  4. Converting RadiansDegrees • To convert from radians to degrees, multiply by Ex: Convert into degrees. • To convert from degrees to radians, multiply by Ex: Convert 600 into radians.

  5. Complementary & Supplementary • Angles that are complements have a sum of or radians. • Angles that are supplements have a sum of or radians. • Complements and supplements cannot be negative! Ex: Find the complement and supplement of radians.

  6. Arc Length & Area of a Sector • The formula for arc length is where is the arc length, is the radius, and is the measure of the central angle. • The formula for area of a sector is where is the radius and is the measure of the central angle. • In both cases, must be in radians!! Ex: For a circle with a radius of 2cm and a central angle of , find the length of the arc formed and the area of the sector.

  7. Angular & Linear Speed • The formula for angular speed is where is the measure of the central angle (in radians) and is the time. • The formula for linear speed is where is the radius, is the arc length, and is the time. Ex: A wind turbine has blades 22 feet long, and rotates at a speed of 15rpm. Find the angular speed and the linear speed.

  8. QI of Unit Circle • Given a blank first quadrant of the unit circle, you will need to fill in the angle measures in both radians and degrees, and you will need to fill in the associated ordered pairs.

  9. Six Trig Functions • You need to know the following trig ratios, and be able to use them to find the values of the six trig functions for any of the milepost angles in QI of the unit circle. Ex: Find the six trig functions of .

  10. Review Problems Page 288, # 30, 32, 52, 54, 58, 62, 90, 92, 94, 98, 104 AND Page 364, # 21–24 all Also practice filling in QI of the unit circle from memory and using it to find the six trig functions of the angles.

More Related