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Pre-Calc Exam Notes 31

# Pre-Calc Exam Notes 31 - Trigonometric Functions of Any...

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Trigonometric Functions of Any Angle Section 1.4 31 For an angle θ in standard position and a point ( x , y ) on its terminal side: (a) sin θ has the same sign as y (b) cos θ has the same sign as x (c) tan θ is positive when x and y have the same sign (d) tan θ is negative when x and y have opposite signs Exercises For Exercises 1-10, state in which quadrant or on which axis the given angle lies. 1. 127 2. 127 3. 313 4. 313 5. 90 6. 621 7. 230 8. 2009 9. 1079 10. 514 11. In which quadrant(s) do sine and cosine have the same sign? 12. In which quadrant(s) do sine and cosine have the opposite sign? 13. In which quadrant(s) do sine and tangent have the same sign? 14. In which quadrant(s) do sine and tangent have the opposite sign? 15. In which quadrant(s) do cosine and tangent have the same sign? 16. In which quadrant(s) do cosine and tangent have the opposite sign? For Exercises 17-21, fnd the re±erence angle ±or the given angle. 17. 317 18. 63 19. 126 20. 696 21. 275 For Exercises 22-26, fnd the exact values o± sin
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