Cosine

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$The vertices of a triangle ABC are A (0, 0), B (2, - 1) a n d C (9, 2) . F i n d c o s B .$

$If the line segment joining the points p (x_{1}, y_{1}) a n d Q (x_{2}, y_{2}) subtends and angle α a t t h e o r i g i n O, p r o v e t h a t : O P . O Q c o s α = x_{1} x_{2} + y_{1} y_{2} .$

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