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Principle Of Mathematical Induction

Question

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Find general value of x for which:

$sin squared straight x space equals space sin squared straight y$

Solution

sin squared straight x space equals space sin squared straight y

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2 space sin squared straight x space equals space 2 space sin squared straight y

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1 - cos2x = 1 - cos2y

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cos 2 straight x equals cos 2 straight y

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space space space space 2 straight x equals 2 nπ plus-or-minus 2 straight y comma

where

straight n element of straight Z

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

where

straight n space element of space 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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