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Using Fundamental Identities (Section 5-1)

Using Fundamental Identities (Section 5-1). RECALL…. Reciprocal Identities. Quotient Identities. Pythagorean Identities. S. A. T. C. Use the given values to evaluate (if possible) all six trigonometric functions. Example 1. S. A. T. C.

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Using Fundamental Identities (Section 5-1)

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  1. Using Fundamental Identities (Section 5-1)

  2. RECALL… Reciprocal Identities Quotient Identities

  3. Pythagorean Identities

  4. S A T C Use the given values to evaluate (if possible) all six trigonometric functions. Example 1

  5. S A T C Use the given values to evaluate (if possible) all six trigonometric functions. Example 2

  6. S A T C Use the given values to evaluate (if possible) all six trigonometric functions. Example 3

  7. S A T C Use the given values to evaluate (if possible) all six trigonometric functions. Example 4

  8. Cofunction Identities Even/Odd Identities

  9. Use the given values to evaluate (if possible) all six trig functions. Example 5

  10. Use the given values to evaluate (if possible) all six trig functions. Example 6

  11. Match the trig expression with one of the following: -1, 1, sin x, csc x, csc2 x Example 7

  12. Match the trig expression with one of the following: -1, 1, sin x, csc x, csc2 x Example 8

  13. Match the trig expression with one of the following: -1, 1, sin x, csc x, csc2 x Example 9

  14. Match the trig expression with one of the following: -1, 1, sin x, csc x, csc2 x Example 10

  15. Match the trig expression with one of the following: -1, 1, sin x, csc x, csc2 x Example 11

  16. Use the fundamental identities to simplify the expression. Example 12

  17. Verify the identity algebraically. Example 13

  18. Factor the expression and use the fundamental identities to simplify. Example 14

  19. Factor the expression and use the fundamental identities to simplify. Example 15

  20. Factor the expression and use the fundamental identities to simplify. Example 16

  21. Perform the indicated operation and use the fundamental identities to simplify. Example 17

  22. Perform the indicated operation and use the fundamental identities to simplify. Example 28

  23. Rewrite the expression so that it is NOT in fractional form. Example 19

  24. Use the trigonometric substitution to write the algebraic expression as a trigonometric function of θ, where 0< θ < π/2. Example 20

  25. Use the trigonometric substitution to write the algebraic expression as a trigonometric function of θ, where 0< θ < π/2. Example 21

  26. Rewrite the expression as a single logarithm and simplify the result. Example 22

  27. HW #39 pg 357 – 358 (27-59 odd)

  28. HW #40 pg 358-359 (61-71 odd, 81-99 odd, 111)

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