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when the axes are rotated through an angle alpha, find the transformed equation of xcosalpha +ysin alpha=p |
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Answer» Transformed equation is X = p Step-by-step EXPLANATION: when the axes are rotated through an ANGLE alpha, FIND the transformed equation of xcosalpha +ysin alpha=p xcosα + ySinα = p The axes are rotated through an angle α x = X Cosα - Y Sinα y = Xsinα + YCosα putting these values (X Cosα - Y Sinα)cosα + (Xsinα + YCosα)Sinα = p => XCos²α - YSinαcosα + XSin²α + YCosαSinα = p => X(Cos²α + Sin²α) = p => X = p Transformed equation is X = p |
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