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सिद्ध कीजिए - `tan 225^(@)cot 405^(@)+tan 765^(@)cot 675^(@)=0` |
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Answer» हम जानते हैं, `tan 225^(@)=tan(180^(@)+45^(@))=tan45^(@)=1" "[because tan(180^(@)+theta)=tan theta]` `cot 405^(@)=cot(360^(@)+45^(@))=cot 45^(@)=1" "[because cot (360^(@)+theta)=cot theta]` `tan 765^(@)=tan(2xx360^(@)-45^(@))=-cot 45^(@)=-1" "[because tan(2xx360^(@)+theta)=tan theta]` तथा`" "cot(675^(@))=cot(2xx360^(@)-45^(@))=-cot 45^(@)=-1` बायाँ पक्ष `" "=tan 225^(@) cot 405^(@)+tan 765^(@)cot 675^(@)` `=1xx1+1xx(-1)" "`(उपरोक्त मान रखने पर) = 0 = दायाँ पक्ष |
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