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Solve for x : 3 tan2 (2x - 20°) = 1

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Question

Solve for x : 3 tan2 (2x - 20°) = 1

Sum
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Solution

3 tan2 ( 2x – 20°) = 1
tan ( 2x – 20°) = `(1)/(sqrt3)`
tan ( 2x – 20°) = tan 30°
2x  –20° = 30°
2x = 50°
x = 25°

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Trigonometric Equation Problem and Solution
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