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Chapter 6 Trig 1060.

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Presentation on theme: "Chapter 6 Trig 1060."— Presentation transcript:

1 Chapter 6 Trig 1060

2 Find an equation that completes the fundamental trigonometric identity
Find an equation that completes the fundamental trigonometric identity. Sin(-x)= csc x -sin x -csc x sin x

3 Find the expression that completes the fundamental trigonometric identity.
tan u -tan u -cot u cot u

4 Use trigonometric substitution to write the algebraic expression as a trigonometric function of
*

5 Factor the expression and use the fundamental identities to simplify
* * 1

6 Use the given values to evaluate (If possible) the remaining trigonometric functions
Sin x Cos x Sec x Cot x

7 Find a fundamental identity that could be used to verify the identity given
Pythagorean identity Quotient identity Even/odd identity Cofunction identity

8 Find an expression to complete the identity
* * sinx * cos x

9 Find an expression that completes the identity
-2 sin x Tan x 2 + cos x

10 Find an expression to complete the identity
* 1 *

11 Find the x-values that are solutions of the equation
*

12 Express sin9x-sin5x as a product containing only sines and/or cosines
-2sin2xcos7x -2sin7xcos2x 2sin7xcos2x 2sin2xcos7x

13 Use the figure to find the exact value of the trigonometric function
* * 3 6 8

14 Find the exact value of the following using the half-angle formulas
*

15 Use the power-reducing formulas to find the exact value of the trigonometric function
*

16 Use the power-reducing formulas to find the exact value of the trigonometric function
*

17 Find the exact value of sin2x using the double angle formula
*

18 Find the exact values of sin2x and cos2x using the double angle formula
*


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