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यदि `A + B=45^(@)`, तो सिद्ध कीजिए की `(1 +tan A)(1 +tan B)=2` |
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Answer» दिया है- `A+B=45^(@)` `implies tan (A+B) =tan 45^(@)=1` `implies (tan A+tan B)/(1-tan A tan B)=1` `implies tan A+tan B=1-tan A tan B` `implies tan A+ tan A tan B+tan B=1` `implies tan A(1+ tan B)+tan B=1` `implies tan A(1+tan B)+tan B+1=1+1=2` `implies (1+tan B)(1+tan A)=2` `implies (1+tan A) (1+tan B)=2` |
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