waecmaths question:
In the diagram, $\left| TP \right|=12cm$ and it is 6cm from O, the centre of the circle Calculate $\angle TOP$
Option A:
120o
Option B:
90o
Option C:
60o
Option D:
40o
waecmaths solution:
$\begin{align} & \left| TD \right|=6\text{ }\!\!\{\!\!\text{ }\bot \text{ bisector of }\left| TP \right|\} \\ & \angle TOD=\theta \\ & \tan \theta =\frac{OD}{TD}=\frac{6cm}{6cm}=1 \\ & \theta ={{\tan }^{-1}}(1)={{45}^{\circ }} \\ & \angle TOP=2\theta =2\times {{45}^{\circ }}\text{ }\!\!\{\!\!\text{ line OD bisects }\angle TOP\} \\\end{align}$
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