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5.3 – Solving Trigonometric Equations
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In this section, you will learn to:
Use standard algebraic techniques to solve trigonometric equations Solve trigonometric equations of quadratic type Solve trigonometric equations involving multiple angles Use inverse trigonometric functions to solve trigonometric equations
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Two basic techniques for solving trigonometric equations are factoring and applying known identities. a) Rewrite the equation with a single trigonometric function. b) Remember only to factor after you have set the equation equal to zero.
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Collect Like Terms/Take the Square Root:
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Collect Like Terms/Take the Square Root:
(Solve for extraneous roots.)
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Use identities to solve:
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Use identities to solve:
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Factor to solve:
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Factor to solve:
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Solving of Multiple Angles:
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Homework Page 35-47 odd, odd, odd
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