(1) If a point P(3 4) is rotated through an angle of 30 ^° in anti-c'ockwise sense about the point Q(1 0) find the new position of P .
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ANSWER
m
2
=tan(θ+45
0
)=
1−tanθ
tanθ+1
=
1−
4
3
4
3
+1
=
4
1
4
7
=7
α=θ+45
0
tanα=7
cosα
x−0
=
sinα
y−0
=5
x=
501
5
y=
501
5×7
=
0
35
x=
2
1
y=
2
7
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