Question

When the axes are rotated through an angle 60degree .the new coordinate of the point is (7,2) find the original coordinate

Answer 1

Step-by-step explanation:

Given When the axes are rotated through an angle 60 degree .the new coordinate of the point is (7,2) find the original coordinate

• Now given new co-ordinates are (7,2)
• Now let x = 7 and y = 2
• So let p = x cos theta – y sin theta
•             = 7 cos 60 – 2 sin 60  
•             = 7 ½ - 2 √3 / 2
•             = 7 - 2√3 / 2
• So let q = x sin theta + y cos theta
•             = 7 sin 60 + 2 cos 60
•            = 7 √3 / 2 + 2 ½  
•           = 7 √3 + 2 / 2
• So the co-ordinates are (7 - 2√3 / 2 , 7√3 + 2 / 2)

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