1.

when the axes are rotated through an angle alpha, find the transformed equation of xcosalpha +ysin alpha=p​

Answer»

<P>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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