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Using Fundamental Identities (Section 5-1)

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Presentation on theme: "Using Fundamental Identities (Section 5-1)"— Presentation transcript:

1 Using Fundamental Identities (Section 5-1)

2 RECALL… Reciprocal Identities Quotient Identities

3 Pythagorean Identities

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

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

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

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

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 (61-71 odd, odd, 111)


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