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# Trig for Dummies

Project for Math 113 - Zachary Wiggins and Zac Willcutt

by

Tweet## Zachary Wiggins

on 6 March 2013#### Transcript of Trig for Dummies

Triangles and Other Angles The Unit Circle Trig for Dummies Trig Functions Functions of Acute Angles

and Their Reciprocals Function Values of Special Angles (where U stands for undefined) Using A Calculator Khan Academy Video Signs of Function Values Solving a Triangle Khan Academy Video Coterminal Angles _are angles in standard position (angles with the initial side on the positive x-axis) that have a common terminal side. For example 30°, –330° and 390° are all coterminal. To find a positive and a negative angle coterminal with a given angle, you can add and subtract 360° if the angle is measured in degrees or 2 pi if the angle is measured in radians. Example: Find a positive and a negative angle coterminal with a 55° angle.

55° – 360° = –305°

55° + 360° = 415°

A –305° angle and a 415° angle are coterminal with a 55° angle. Complementary and Supplementary Angles Complementary angles_ Two angles whose measure adds to 90 degrees. Supplementary angles_ Two angles whose measure adds to 180 degrees. Example: Example: In all its glory Radian Measure A radian is the standard unit of angular measurement. An angle's measurement in radians is numerically equal to the length of a corresponding arc of a unit circle. Radian Converting Between

Degree and Radians To convert to radians, use the formula To convert to degrees, use the formula Examples: Linear Speed and Angular Speed Linear Speed The linear speed of any object is the speed which the object gains when it is moving on a linear path and this speed of the object is nothing but the change in the position of the object with the time in the linear path and hence due to this change in the position the linear speed comes into picture. Formula Angular Speed Angular speed is the measure of rotation rate. Formula

Full transcriptand Their Reciprocals Function Values of Special Angles (where U stands for undefined) Using A Calculator Khan Academy Video Signs of Function Values Solving a Triangle Khan Academy Video Coterminal Angles _are angles in standard position (angles with the initial side on the positive x-axis) that have a common terminal side. For example 30°, –330° and 390° are all coterminal. To find a positive and a negative angle coterminal with a given angle, you can add and subtract 360° if the angle is measured in degrees or 2 pi if the angle is measured in radians. Example: Find a positive and a negative angle coterminal with a 55° angle.

55° – 360° = –305°

55° + 360° = 415°

A –305° angle and a 415° angle are coterminal with a 55° angle. Complementary and Supplementary Angles Complementary angles_ Two angles whose measure adds to 90 degrees. Supplementary angles_ Two angles whose measure adds to 180 degrees. Example: Example: In all its glory Radian Measure A radian is the standard unit of angular measurement. An angle's measurement in radians is numerically equal to the length of a corresponding arc of a unit circle. Radian Converting Between

Degree and Radians To convert to radians, use the formula To convert to degrees, use the formula Examples: Linear Speed and Angular Speed Linear Speed The linear speed of any object is the speed which the object gains when it is moving on a linear path and this speed of the object is nothing but the change in the position of the object with the time in the linear path and hence due to this change in the position the linear speed comes into picture. Formula Angular Speed Angular speed is the measure of rotation rate. Formula