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Pre-Calc Exam Notes 128

Pre-Calc Exam Notes 128 - 128 Chapter 5 • Graphing and...

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Unformatted text preview: 128 Chapter 5 • Graphing and Inverse Functions §5.3 Exercises For Exercises 1-25, find the exact value of the given expression in radians. 1. tan − 1 1 2. tan − 1 ( − 1) 3. tan − 1 4. cos − 1 1 5. cos − 1 ( − 1) 6. cos − 1 7. sin − 1 1 8. sin − 1 ( − 1) 9. sin − 1 10. sin − 1 ( sin π 3 ) 11. sin − 1 ( sin 4 π 3 ) 12. sin − 1 ( sin ( − 5 π 6 )) 13. cos − 1 ( cos π 7 ) 14. cos − 1 ( cos ( − π 10 )) 15. cos − 1 ( cos 6 π 5 ) 16. tan − 1 ( tan 4 π 3 ) 17. tan − 1 ( tan ( − 5 π 6 )) 18. cot − 1 ( cot 4 π 3 ) 19. csc − 1 ( csc ( − π 9 )) 20. sec − 1 ( sec 6 π 5 ) 21. cos ( sin − 1 ( 5 13 )) 22. cos ( sin − 1 ( − 4 5 )) 23. sin − 1 3 5 + sin − 1 4 5 24. sin − 1 5 13 + cos − 1 5 13 25. tan − 1 3 5 + cot − 1 3 5 For Exercises 26-33, prove the given identity. 26. cos (sin − 1 x ) = radicallow 1 − x 2 27. sin (cos − 1 x ) = radicallow 1 − x 2 28. sin − 1 x + cos − 1 x = π 2 29. sec − 1 x + csc −...
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