Question

1. Find the distance between the following points:

(i) (a cos 0, a sin 3), (a cos 0, a sin 3)​

Answer 1

Answer:

Answer:

Step-by-step explanation:

In order to find the distance between the points P(sin{\theta},0)P(sinθ,0) and Q=(0,cos{\theta})Q=(0,cosθ) , wwe use the distance formula, that is:

PQ=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}

(x

2

−x

1

)

2

+(y

2

−y

1

)

2

=\sqrt{(0-sin{\theta})^{2}+(cos{\theta}-0)^{2}}

(0−sinθ)

2

+(cosθ−0)

2

=\sqrt{sin^{2}{\theta}+cos^{2}{\theta}}

sin

2

θ+cos

2

θ

=\sqrt{1}

1

=11 .

Thus, the distance between the points P and Q is 1 units.

Answer 2

Answer:

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