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if x sin3 theta + y cos3 theta = sin theta cos theta and x sintheta = y cos theta prove that x2 - y2 = 1 |
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Answer» Answer: xsin³∅ + ycos³∅ = sin∅. cos∅ X.sin³∅ + cos²∅.(ycos∅) = sin∅.cos∅ use xsin∅= ycos∅ in above xsin³∅ + cos²∅.xsin∅ = sin∅.cos∅ xsin∅( sin²∅ + cos²∅) = sin∅.cos∅ xsin∅ = sin∅.cos∅ x = cos∅ so, y = sin∅ now we KNOW, sin²∅ + cos²∅ = 1 put sin∅ = y cos∅ = x hence, x² + y² = 1 Step-by-step EXPLANATION:Hope i helped you guys PLS R8 5 STARS if it was helpful. bye!!!! |
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