Principle of Mathematical Induction

Principle of Mathematical Induction

Question

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fraction numerator cos 18 degree plus sin 18 degree over denominator cos 18 degree minus sin 18 degree end fraction space equals space cot space 27 degree.

Answer

L.H.S = fraction numerator cos 18 degree plus sin 18 degree over denominator cos 18 degree minus sin 18 degree end fraction space equals space fraction numerator begin display style fraction numerator cos 18 degree over denominator cos 18 degree end fraction end style plus begin display style fraction numerator sin 18 degree over denominator cos 18 degree end fraction end style over denominator begin display style fraction numerator cos 18 degree over denominator cos 18 degree end fraction end style minus begin display style fraction numerator sin 18 degree over denominator cos 18 degree end fraction end style end fraction
                                                { By dividing numerator and denominator by cos space 18 degree}
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#6 {main}</pre>
space space space equals space tan 63 degree space equals space tan left parenthesis 90 degree minus 27 degree right parenthesis space equals space cot 27 degree space equals space straight R. straight H. straight S.

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