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Precalculus Unit 4 - Trigonometry Name: Date: Thursday January 21, 2016 Homework: Worksheet Trigonometric Functions for any Angle & Constraints #1 – 2: The point given is on the terminal side of an angle θ in standard position. Determine the exact values of the six trigonometric function of the angle without a calculator. Simplify and rationalize if appropriate. Sketch the angle in standard position to support your response. 1. (–4, 8) 2. (3, –5) #3 – 6: State the quadrant in which θ lies. 3. sin θ < 0 and cosθ < 0 4. sin θ > 0 and cosθ < 0 5. sin θ > 0 and tanθ < 0 6. cos θ > 0 and tanθ < 0 TURN THIS SHEET OVER #7 – 9: Without a calculator, find the exact values (if possible) of the remaining trigonometric functions of θ using the functional value and constraint. Simplify & rationalize if appropriate. Sketch the angle in standard position to support your response. 7. 15 − tan θ = and sin θ < 0 8 8. cot θ = −3 and cos θ > 0 9. tan θ undefined and π ≤ θ ≤ 2π = #10 – 12: Without a calculator, find the exact values (if possible) of the specified trigonometric functions of θ using the functional value and constraint. Simplify & rationalize if appropriate. Sketch the angle in standard position to support your response. 10. Given: = cscθ 4 and cot θ < 0 Find cosθ . 11. Given: sin θ = 0 and secθ = −1 Find cotθ . 12. Given: cos θ = Find cscθ . 5 and tanθ < 0 13