Solving Trigonometric Equation Pre Calculus 5 3 To
![Solving Trigonometric Equation Pre. Calculus 5 -3 Solving Trigonometric Equation Pre. Calculus 5 -3](https://slidetodoc.com/presentation_image_h/0ddc3c3a244857da1d999e034cce68da/image-1.jpg)
![• To solve trigonometric equations, we must solve for all values of the • To solve trigonometric equations, we must solve for all values of the](https://slidetodoc.com/presentation_image_h/0ddc3c3a244857da1d999e034cce68da/image-2.jpg)
![Trigonometric Equations sin x = x= π 6 is a trigonometric equation. is one Trigonometric Equations sin x = x= π 6 is a trigonometric equation. is one](https://slidetodoc.com/presentation_image_h/0ddc3c3a244857da1d999e034cce68da/image-3.jpg)
![Find the general solution for the equation sec = 2. From cos = 1 Find the general solution for the equation sec = 2. From cos = 1](https://slidetodoc.com/presentation_image_h/0ddc3c3a244857da1d999e034cce68da/image-4.jpg)
![Trigonometric Equations Trigonometric Equations](https://slidetodoc.com/presentation_image_h/0ddc3c3a244857da1d999e034cce68da/image-5.jpg)
![Solve the equation Trigonometric Equations Solve the equation Trigonometric Equations](https://slidetodoc.com/presentation_image_h/0ddc3c3a244857da1d999e034cce68da/image-6.jpg)
![Trigonometric Equations Trigonometric Equations](https://slidetodoc.com/presentation_image_h/0ddc3c3a244857da1d999e034cce68da/image-7.jpg)
![Solve the equation Trigonometric Equations Solve the equation Trigonometric Equations](https://slidetodoc.com/presentation_image_h/0ddc3c3a244857da1d999e034cce68da/image-8.jpg)
![Trigonometric Equations Trigonometric Equations](https://slidetodoc.com/presentation_image_h/0ddc3c3a244857da1d999e034cce68da/image-9.jpg)
![Trigonometric Equations Trigonometric Equations](https://slidetodoc.com/presentation_image_h/0ddc3c3a244857da1d999e034cce68da/image-10.jpg)
![Solve the equation Trigonometric Equations Solve the equation Trigonometric Equations](https://slidetodoc.com/presentation_image_h/0ddc3c3a244857da1d999e034cce68da/image-11.jpg)
![Solve the equation Trigonometric Equations Solve the equation Trigonometric Equations](https://slidetodoc.com/presentation_image_h/0ddc3c3a244857da1d999e034cce68da/image-12.jpg)
![Solve the equation Trigonometric Equations Solve the equation Trigonometric Equations](https://slidetodoc.com/presentation_image_h/0ddc3c3a244857da1d999e034cce68da/image-13.jpg)
![Trigonometric Equations Trigonometric Equations](https://slidetodoc.com/presentation_image_h/0ddc3c3a244857da1d999e034cce68da/image-14.jpg)
![Solve the equation in the interval [0, 2π) Trigonometric Equations Solve the equation in the interval [0, 2π) Trigonometric Equations](https://slidetodoc.com/presentation_image_h/0ddc3c3a244857da1d999e034cce68da/image-15.jpg)
![Trigonometric Equations Trigonometric Equations](https://slidetodoc.com/presentation_image_h/0ddc3c3a244857da1d999e034cce68da/image-16.jpg)
![Solve the equation Trigonometric Equations Solve the equation Trigonometric Equations](https://slidetodoc.com/presentation_image_h/0ddc3c3a244857da1d999e034cce68da/image-17.jpg)
![Trigonometric Equations Trigonometric Equations](https://slidetodoc.com/presentation_image_h/0ddc3c3a244857da1d999e034cce68da/image-18.jpg)
![Solve the equation in the interval (6π, 8π) Trigonometric Equations Solve the equation in the interval (6π, 8π) Trigonometric Equations](https://slidetodoc.com/presentation_image_h/0ddc3c3a244857da1d999e034cce68da/image-19.jpg)
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![Solve the equation in the interval (4π, 6π) Trigonometric Equations Solve the equation in the interval (4π, 6π) Trigonometric Equations](https://slidetodoc.com/presentation_image_h/0ddc3c3a244857da1d999e034cce68da/image-21.jpg)
![Trigonometric Equations Trigonometric Equations](https://slidetodoc.com/presentation_image_h/0ddc3c3a244857da1d999e034cce68da/image-22.jpg)
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![Solve the equation in the interval (0, 2π) Trigonometric Equations Solve the equation in the interval (0, 2π) Trigonometric Equations](https://slidetodoc.com/presentation_image_h/0ddc3c3a244857da1d999e034cce68da/image-27.jpg)
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![• Homework • page 364 - 365 3, 5, 11, 15 21, 25, • Homework • page 364 - 365 3, 5, 11, 15 21, 25,](https://slidetodoc.com/presentation_image_h/0ddc3c3a244857da1d999e034cce68da/image-33.jpg)
- Slides: 33
![Solving Trigonometric Equation Pre Calculus 5 3 Solving Trigonometric Equation Pre. Calculus 5 -3](https://slidetodoc.com/presentation_image_h/0ddc3c3a244857da1d999e034cce68da/image-1.jpg)
Solving Trigonometric Equation Pre. Calculus 5 -3
![To solve trigonometric equations we must solve for all values of the • To solve trigonometric equations, we must solve for all values of the](https://slidetodoc.com/presentation_image_h/0ddc3c3a244857da1d999e034cce68da/image-2.jpg)
• To solve trigonometric equations, we must solve for all values of the variable that make the equation true. Trigonometric Equations
![Trigonometric Equations sin x x π 6 is a trigonometric equation is one Trigonometric Equations sin x = x= π 6 is a trigonometric equation. is one](https://slidetodoc.com/presentation_image_h/0ddc3c3a244857da1d999e034cce68da/image-3.jpg)
Trigonometric Equations sin x = x= π 6 is a trigonometric equation. is one of infinitely many solutions of y = sin x. y -19π 6 -11π 6 -3π -7π 6 1 -2π -π -1 5π 6 13π 6 π 2π 17π 6 3π 25π 6 x y= 4π All the solutions for x can be expressed in the form of a general solution. x= π 6+ 2 k π and x = 5π 6+ 2 k π (k = 0, ± 1, ± 2, ± 3, ).
![Find the general solution for the equation sec 2 From cos 1 Find the general solution for the equation sec = 2. From cos = 1](https://slidetodoc.com/presentation_image_h/0ddc3c3a244857da1d999e034cce68da/image-4.jpg)
Find the general solution for the equation sec = 2. From cos = 1 , it follows that cos = sec All values of for which cos = are solutions of the equation. π Two solutions are = ±. 3 π that are coterminal All angles 3 with ± are also solutions and can be expressed by adding integer multiples of 2π. The general solution can be written as cos( π3+ 2 kπ) = P y 1 x Q -π cos( 3+ 2 kπ) = = ± π3+ 2 kπ. 4
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Trigonometric Equations
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Solve the equation Trigonometric Equations
![Trigonometric Equations Trigonometric Equations](https://slidetodoc.com/presentation_image_h/0ddc3c3a244857da1d999e034cce68da/image-7.jpg)
Trigonometric Equations
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Solve the equation Trigonometric Equations
![Trigonometric Equations Trigonometric Equations](https://slidetodoc.com/presentation_image_h/0ddc3c3a244857da1d999e034cce68da/image-9.jpg)
Trigonometric Equations
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Trigonometric Equations
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Solve the equation Trigonometric Equations
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Solve the equation Trigonometric Equations
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Solve the equation Trigonometric Equations
![Trigonometric Equations Trigonometric Equations](https://slidetodoc.com/presentation_image_h/0ddc3c3a244857da1d999e034cce68da/image-14.jpg)
Trigonometric Equations
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Solve the equation in the interval [0, 2π) Trigonometric Equations
![Trigonometric Equations Trigonometric Equations](https://slidetodoc.com/presentation_image_h/0ddc3c3a244857da1d999e034cce68da/image-16.jpg)
Trigonometric Equations
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Solve the equation Trigonometric Equations
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Trigonometric Equations
![Solve the equation in the interval 6π 8π Trigonometric Equations Solve the equation in the interval (6π, 8π) Trigonometric Equations](https://slidetodoc.com/presentation_image_h/0ddc3c3a244857da1d999e034cce68da/image-19.jpg)
Solve the equation in the interval (6π, 8π) Trigonometric Equations
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Trigonometric Equations
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Solve the equation in the interval (4π, 6π) Trigonometric Equations
![Trigonometric Equations Trigonometric Equations](https://slidetodoc.com/presentation_image_h/0ddc3c3a244857da1d999e034cce68da/image-22.jpg)
Trigonometric Equations
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Trigonometric Equations
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Solve the equation Trigonometric Equations
![Trigonometric Equations Trigonometric Equations](https://slidetodoc.com/presentation_image_h/0ddc3c3a244857da1d999e034cce68da/image-25.jpg)
Trigonometric Equations
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Trigonometric Equations
![Solve the equation in the interval 0 2π Trigonometric Equations Solve the equation in the interval (0, 2π) Trigonometric Equations](https://slidetodoc.com/presentation_image_h/0ddc3c3a244857da1d999e034cce68da/image-27.jpg)
Solve the equation in the interval (0, 2π) Trigonometric Equations
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Trigonometric Equations
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Find all solutions of the equation Trigonometric Equations
![Trigonometric Equations Trigonometric Equations](https://slidetodoc.com/presentation_image_h/0ddc3c3a244857da1d999e034cce68da/image-30.jpg)
Trigonometric Equations
![Trigonometric Equations Trigonometric Equations](https://slidetodoc.com/presentation_image_h/0ddc3c3a244857da1d999e034cce68da/image-31.jpg)
Trigonometric Equations
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Solve the equation Trigonometric Equations
![Homework page 364 365 3 5 11 15 21 25 • Homework • page 364 - 365 3, 5, 11, 15 21, 25,](https://slidetodoc.com/presentation_image_h/0ddc3c3a244857da1d999e034cce68da/image-33.jpg)
• Homework • page 364 - 365 3, 5, 11, 15 21, 25, 27, 29, 33, 35, 53, 55, 67 Trigonometric Equations
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