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Principle Of Mathematical Induction

Question

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If $2 tan straight theta equals 3 tan straight ϕ$

Prove that: $tan left parenthesis straight theta minus straight ϕ right parenthesis equals fraction numerator sin 2 straight ϕ over denominator 5 minus cos 2 straight ϕ end fraction$

Solution

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If in two circles, arcs of the same length subtend angles 60° and 75° at the centre, find the ratio of their radii.

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