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Prove ` ( 1 - sin 60^@)/ ( cos 60^@) = ( 1 - tan 30^@)/ ( 1+ tan 30^@)` |
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Answer» `L.H.S. = (1-sin60^@)/cos60^@` `=(1-sqrt3/2)/(1/2) = 2-sqrt3` `R.H.S. = (1-tan30^@)/(1+tan30^@)` `=(sqrt3-1)/(sqrt3+1)**(sqrt3-1)/(sqrt(3-1)` `=(4-2sqrt3)/2 = 2-sqrt3` `:. L.H.S. = R.H.S.` |
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