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Prove that `tan 56^@ = (cos11^@ + sin11^@)/(cos11^@ - sin11^@) ` |
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Answer» LHS `=(cos11^(@)+sin11^(@))/(cos11^(@)-sin11^(@))` `=(1+tan11^(@))/(1-tan11^(@))`(Divide `N^(r )` and `D^(r ) "by" cos x)` `=(tan45^(@)+tan11^(@))/(1-tan45^(@)tan11^(@))` `=tan(45^(@)+11^(@))=tan56^(@)` `tan(90-34^(@))=cot34^(@)=`RHS Hence Proved. |
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