Intro to radians and unit circle F-TF.1 F-TF.2 ANGLES AND ANGLE MEASURE

FIND THE EXACT VALUE OF THE FOLLOWING.

ANGLES IN STANDARD POSITION

MEASURING ANGLES You Try: Draw a 150* angle Draw a -45* angle If the measure of a an angle is positive, the terminal side is rotated counterclockwise If the measure of an angle is negative, the terminal side is rotated clockwise

 A radian is the measure of an angle in standard position with a terminal side that intercepts an arc with the same length as the radius of the circle.  The circumference of a circle is One complete revolution around a circle equals radians.  Since =360*, then =180. RADIANRADIAN – CLICK FOR ANIMATION

Degrees to RadiansRadians to Degrees CONVERTING BETWEEN DEGREES AND RADIANS Ex: You try:

 Rewrite each degree measure in radians and each radian measure in degree PRACTICE

SKETCH EACH ANGLE. THEN DETERMINE THE REFERENCE ANGLE

 Get from Shawna PAPER PLATE ACTIVITY

DEGREES AND RADIANS

REVIEW OF QUADRANT ANGLES

RIGHT TRIANGLE Since this is an isosceles triangle, 2 sides are the same. We will let these congruent sides be 1 and 1. We can then use the Pythagorean Thm. To find the length of the hypotenuse. a 2 +b 2 =c = c 2 2=c 2 =c

RIGHT TRIANGLE Start with an Equilateral Triangle Then use Pyth. Thm a a =2 2 a 2 =3 a=

TRIG RATIOS OF SPECIAL ANGLES:

HAND TRICK – 1 ST QUADRANT 2

PRACTICE PROBLEMS WITH HAND TRICK

 worksheet HOMEWORK