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Solve for x : sin2 x + sin2 30° = 1

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Question

Solve for x : sin2 x + sin2 30° = 1

Sum
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Solution

sin2x + sin230° = 1
sin2x  = 1 –sin2 30°

sin2x = 1 – `(1)/(4)`

sin2x = `(sqrt3)/(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. (ix) | Page 335
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