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Using Fundamental Identities (Section 5-1)
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RECALL… Reciprocal Identities Quotient Identities
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Pythagorean Identities
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Use the given values to evaluate (if possible) all six trigonometric functions.
Example 1 C S A T
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Use the given values to evaluate (if possible) all six trigonometric functions.
Example 2 C S A T
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Use the given values to evaluate (if possible) all six trigonometric functions.
Example 3 C S A T
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Use the given values to evaluate (if possible) all six trigonometric functions.
Example 4 C S A T
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Cofunction Identities
Even/Odd Identities
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Use the given values to evaluate (if possible) all six trig functions.
Example 5
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Use the given values to evaluate (if possible) all six trig functions.
Example 6
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Match the trig expression with one of the following: -1, 1, sin x, csc x, csc2 x
Example 7
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Match the trig expression with one of the following: -1, 1, sin x, csc x, csc2 x
Example 8
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Match the trig expression with one of the following: -1, 1, sin x, csc x, csc2 x
Example 9
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Match the trig expression with one of the following: -1, 1, sin x, csc x, csc2 x
Example 10
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Match the trig expression with one of the following: -1, 1, sin x, csc x, csc2 x
Example 11
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Use the fundamental identities to simplify the expression.
Example 12
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Verify the identity algebraically.
Example 13
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Factor the expression and use the fundamental identities to simplify.
Example 14
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Factor the expression and use the fundamental identities to simplify.
Example 15
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Factor the expression and use the fundamental identities to simplify.
Example 16
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Perform the indicated operation and use the fundamental identities to simplify.
Example 17
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Perform the indicated operation and use the fundamental identities to simplify.
Example 28
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Rewrite the expression so that it is NOT in fractional form.
Example 19
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Use the trigonometric substitution to write the algebraic expression as a trigonometric function of θ, where 0< θ < π/2. Example 20
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Use the trigonometric substitution to write the algebraic expression as a trigonometric function of θ, where 0< θ < π/2. Example 21
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Rewrite the expression as a single logarithm and simplify the result.
Example 22
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HW #39 pg 357 – 358 (27-59 odd)
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HW #40 pg (61-71 odd, odd, 111)
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