Math, asked by maneesh2010, 8 months ago

2.
Find the transformed equation of x cos a + y sin a = p if the axes are rotated through an angle 0.
(April-2000, May-2007)
[Ans : X = P1​

Answers

Answered by shrutibhardwaj0708
4

Answer:

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

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Answered by meghanaperla1234
19

Step-by-step explanation:

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