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Solve for x : cos2 30° + cos2 x = 1

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Question

Solve for x : cos2 30° + cos2 x = 1

Sum
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Solution

cos230° + cos2 x = 1
cos2 x = 1 – cos2 30°

cos2 x = 1 – `(3)/(4)`

cos x = `(1)/(2)`

x = 60°

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Trigonometric Equation Problem and Solution
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Chapter 21: Trigonometrical Ratios [Sine, Consine, Tangent of an Angle and their Reciprocals] - TEST YOURSELF [Page 335]

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Selina Concise Mathematics [English] Class 9 ICSE
Chapter 21 Trigonometrical Ratios [Sine, Consine, Tangent of an Angle and their Reciprocals]
TEST YOURSELF | Q 7. (x) | Page 335
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