Problem of the Week

Problem 27

a) The point $(1, 0)$ is reflected in the line $y=mx$ . Find the new coordinates of this point.

b) Hence or otherwise, if $t=\tan(\tfrac{\theta}{2})$ , determine $\sin\theta$ and $\cos\theta$ in terms of $t$ .

c) A particle’s position after time $t$ is modelled by the reflection of the point $(1, 0)$ in the line $y=tx$ . What does the distance travelled by the particle approach as $t \to \infty$ ( $t$ goes from 0 to $\infty$ ) ?

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Problem of the Week

Problem 27

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