Warm – up #2 1. Find 2 (+) and 2 (–) angles that are coterminal to 120 o. What quadrant is it in? 120 o + 1(360 o ) = 120 o + 2(360 o ) = 120 o + (–1)(360.

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Presentation transcript:

Warm – up #2 1. Find 2 (+) and 2 (–) angles that are coterminal to 120 o. What quadrant is it in? 120 o + 1(360 o ) = 120 o + 2(360 o ) = 120 o + (–1)(360 o ) = 120 o + (–2)(360 o ) = Quadrant II 480 o 840 o –240 o –600 o

Homework Log Wed 2/17 Lesson 7 – 2 Learning Objective: To convert radian and degree measures Hw: #703 Pg. 393 #1 – 31 odd MEMORIZE Pg. 390

2/17/16 Lesson 7 – 2 Radian Measures Advanced Math/Trig

Learning Objective To know what a radian is To convert degrees to radian measure To convert radians to degree measure To memorize the unit circle

Radian Units of measure for angles: revolution, degree, & radian Radian: a central angle has measure 1 radian if it intercepts an arc with length equal to the radius of the circle r r r  = 1 radian 

Converting 1 revolution = 360  = 2  radians  radians = 180  radians → degrees, multiply by degrees → radians, multiply by (Circumf. of Circle = 2  r )

Converting Leave radian measure in terms of  May omit word “radians”

Converting

Converting

Converting

Pg. 390 Chart 00 30  45  60  90  120  135  150  180  210  225  240  270  300  315  330  360 

Ticket Out the Door Draw the chart on Page 390

Homework #703 Pg. 393 #1 – 31 odd MEMORIZE Pg. 390