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Precalculus Lesson

Unit Circle Quiz Today No Calculator. Precalculus Lesson. 4.7. Check: (4.6) p337 #16, 18, 22, 34 (4.5) p327 #40, 42, 56, 60 8pts. Warm-up. Graph two full periods for each. Label each axis. Objective. Evaluate inverse trig functions. Review Inverse Functions.

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Precalculus Lesson

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  1. Unit Circle Quiz Today No Calculator PrecalculusLesson 4.7 Check: (4.6) p337 #16, 18, 22, 34 (4.5) p327 #40, 42, 56, 60 8pts

  2. Warm-up Graph two full periods for each. Label each axis.

  3. Objective • Evaluate inverse trig functions.

  4. Review Inverse Functions For a function to have an inverse function it must pass the HLT. What can we do to make them have an inverse function?

  5. Graph the inverse sine function Restrict the domain Switch x and y to graph inverse

  6. Graph the inverse cosine function Restrict the domain Switch x and y to graph inverse

  7. Graph the inverse tangent function Restrict the domain Switch x and y to graph inverse

  8. Inverse sine function

  9. Inverse cosine function

  10. Inverse tangent function

  11. What ranges to these represent?

  12. Practice • Evaluate without using a calculator

  13. Answers

  14. Without a calculator, determine if your answer is positive or negative and what quadrant it is in. • NOW, Evaluate with a calculator.

  15. Answers

  16. Classwork Compositions of functions p. 345 Do p. 347 # 49-54 READ

  17. Evaluating Composition of functions. Example 4 Find the exact values for each. Let u = arcsin 4/5 Diagram [quadrant 1] Find the missing side Find sec u

  18. Evaluating Composition of functions. Diagram [Quadrant 2] Find the missing side Find sin u

  19. Assignments Homework (4.7) P. 347 # 6-20 even 24-40 (x 4), 60, 62, 64 15pts

  20. Closure Answers

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