Text: Trigonometric equations
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Trigonometric Equations Prerequisites
You should be familiar with (1) the basic trigonometric identities, including the compound and double angle formulae; (2) De Moivre's theorem and its applications to trigonometry. Trigonometric identities Here is a summary of the trigonometric identities that you should know. Basic identities [Equation goes here - download the original pdf to see it.] Odd and even functions [Equation goes here - download the original pdf to see it.] Compound angle formulae [Equation goes here - download the original pdf to see it.] Double angle formulae [Equation goes here - download the original pdf to see it.] Example (1) Use the double angle formulae to prove: v [Equation goes here - download the original pdf to see it.] De Moivre's theorem In Cartesian form this is [Equation goes here - download the original pdf to see it.] and in polar form [Equation goes here - download the original pdf to see it.] Example (2) Use De Moivre's theorem to prove: [Example goes here - download the original pdf to see it.] On equating imaginary parts [Equation goes here - download the original pdf to see it.] Equating real parts also gives us the result we proved in example (1) [Equation goes here - download the original pdf to see it.]
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Contents of
Text: Trigonometric equations
1 Trigonometric Equations Prerequisites
2 Solving trigonometric equations
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