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Principle Of Mathematical Induction

Question

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Find general value of x for which:

$cos squared straight x space equals space cos squared straight y$

Solution

cos squared straight x space equals space cos squared straight y

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2 cos squared straight x space equals space 2 cos squared straight y

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1+cos2x = 1+cos2y

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cos 2x = cos 2y

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2 straight x space equals space 2 nπ plus-or-minus 2 straight y comma space space where space straight n space element of space straight Z

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space space straight x equals nπ plus-or-minus straight y comma

where

straight n element of straight Z

Some More Questions From Principle of Mathematical Induction Chapter

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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