Question

2. When the axes are rotated through an angle 30°, find the new coordinates of the following (0,5) ​

Answer 1

Answer:

We have, x=4,y=2

3

and θ=−30

o

∴X=xcosθ+ysinθ

and Y=−xsinθ+ycosθ

⇒X=4cos30

o

−2

3

sin30

o

=4×

2

3

−2

3

×

2

1

and Y=4sin30

o

+2

3

cos30

o

=4×

2

1

+2

3

×

2

3

⇒X=

3

and Y=5

Hence, the given point in the new system is (

3

,5).