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Trigonometric Functions of Non-Acute Angles

2.2. Trigonometric Functions of Non-Acute Angles. The positive acute angle made by the terminal side of the angle and the x-axis Pictures of reference angles in QII, QIII, & QIV QI: θ' = θ QII: θ' = 180 - θ QIII: θ' = θ - 180 QIV: θ' = 360 - θ. Reference Angles. 218°

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Trigonometric Functions of Non-Acute Angles

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  1. 2.2 Trigonometric Functions of Non-Acute Angles

  2. The positive acute angle made by the terminal side of the angle and the x-axis Pictures of reference angles in QII, QIII, & QIV QI: θ' = θ QII: θ' = 180 - θ QIII: θ' = θ - 180 QIV: θ' = 360 - θ Reference Angles

  3. 218° 1387° Find the reference angle for each angle

  4. We must find exact values (NO decimals!) Watch signs, depending on the quadrant! Find the values of the trig functions for 210°. Special angles as reference angles

  5. Step 1: Find the smallest positive coterminal angle (if needed) Step 2: Find the reference angle Step 3: Find the trig functions Step 4: Determine the correct signs Finding trig function values for any nonquadrantal angle

  6. Cos (-240°) Tan 675° Find the exact value of each expression

  7. cos 120° + 2sin2 60° - tan2 30° Evaluate (no decimals)

  8. Cos 780° Tan (-405°) Evaluate

  9. Find all values of θ, if θ is in the interval [0°, 360°) and cosθ = - . Finding angle measures with special angles

  10. Pages 59 – 60 #1-6, 19 – 33 every other odd, 35 – 45 odd homework

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