1.

Prove ` ( 1 - sin 60^@)/ ( cos 60^@) = ( 1 - tan 30^@)/ ( 1+ tan 30^@)`

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.`


Discussion

No Comment Found