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| Theorem 3 |
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| General solution of tan q = k |
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| Let a be the least positive angle, such that tan a = k. |
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| tan q = tan a. |
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| Also tan (p + a ) = tan a = k. |
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| q = a or p + a = any other co-terminal angle |
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| q = a, 2p + a, 4p + a, ....., p + 2p + (p + a) .... |
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| General solution is q = np + a. |
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| Particular Cases |
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| \q = np + a = np+ 0 |
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| Example: |
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| Solve the following trigonometrical equations lying between 0 and 2p. |
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| Suggested answer: |
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| sin 2q is positive in I and II quadrants. |
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| cos 2q is positive in I and IV quadrants. |
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| Let 2q = a. |
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