InterviewSolution
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InterviewSolution
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सिद्ध कीजिए कि `(1-sin60^(@))/(cos 60^(@))=(1-tan 30^(@))/(1+tan 30^(@))` |
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Answer» बायाँ पक्ष `(1-sin60^(@))/(cos60^(@))=(1-(1)/(sqrt2))/(1/2)=(2-sqrt3)/(1)=2-sqrt3` अब , बायाँ पक्ष `=(1-sin60^(@))/(cos 60^(@))=(1-(1)/(sqrt3))/(1+(1)/(sqrt3))=(sqrt3-1)/(sqrt3+1)=((sqrt3-1)xx(sqrt3-1))/((sqrt3+1)xx(sqrt3-1))` `=((sqrt3-1)^(2))/((sqrt3)^(2)-(1)^(2))=(3-2sqrt3+1)/(2)=(4-2sqrt3)/(2)=2-sqrt3` `implies` बायाँ पक्ष = दायाँ पक्ष |
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