Math 20-1 Chapter 2 Trigonometry 2.2B Trig Ratios of Any Angle (Solving for the Angle) Teacher Notes

Math 20-1 Chapter 1 Sequences and Series 2.2B Trig Ratios of Any Angle Quadrantal Angles and Solve for the Angle The reference angles for angles in standard position 150 ° and 210 ° are equal. Does this imply that ? ref 30 ° II ref 30 ° III

Quadrantal Angles 0°0° 90 ° 180 ° 270 °, 360 ° P(0, 3) Q(-4, 0) 2.2.2

Solve for angle  given Angle in Standard Position Reference Angle 1 2  1 2  = 30 0 R = 30 0 Reference Angle  = 30 0  = Angle in Standard Position 0 0 ≤  <  Determine the Measure of an Angle Given a Trig Ratio R I or II 2.2.3

Solve for angle  given Angle in Standard Position Reference Angle 3 5  3 5  = 37 0 R = 37 0 Reference Angle  = 37 0  = Angle in Standard Position 0 0 ≤  < nearest degree  Determine the Measure of an Angle Given a Trig Ratio R I or II 2.2.4

Solve for each angle  given a specific trig ratio.  =  45 0,  =  30 0  =  60 0  =  30 0,  =   =   =  RA = 45 0 RA = 60 0 RA = 45 0 RA = 30 0 RA = ≤  < RA = 60 0  =  Determine the Measure of the Angle Given the Exact Ratio III IIV IIIII IIIII I III IV IIIII, 300 0, 225 0, 210 0, 300 0, 240 0

Determine the measure of angle A, to the nearest degree: 0 0 ≤ A < sinA = cosA = tanA = cosA = sinA = tanA = R A Quadrants III III II IV I III IV IIII Determine the Measure of the Angle Given the Approximate Ratio Enter a positive ratio in your calculator 2.2.6

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