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सिद्ध कीजिए कि `2costheta=sqrt(2+sqrt(2+sqrt(2+2cos 8 theta)))` |
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Answer» दायाँ पक्ष `=sqrt(2+sqrt(2+sqrt(2+2 cos 8 theta)))` `=sqrt(2+sqrt(2+sqrt(2(1+cos 8 theta))))=sqrt(2+sqrt(2+sqrt(2.2cos^(2)4 theta)))` `=sqrt(2+sqrt(2+sqrt(4cos^(2)4 theta)))=sqrt(2+sqrt(2(1+cos 4theta)))` `=sqrt(2+sqrt(2.2 cos^(2) 2 theta))=sqrt(2+sqrt(4cos^(2)2 theta))` `=sqrt(2+2 cos 2 theta)=sqrt(2(1+cos 2theta))=sqrt(2.2cos^(2)theta)` `=2 cos theta=`बायाँ पक्ष |
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