1.

`Tan 75 - Cot 75=`A. `2sqrt(3)`B. `2+sqrt(3)`C. `2-sqrt(3)`D. 1

Answer» Correct Answer - A
Given expression, `tan75^(@)-cot75^(@)`
`" "=(sin75^(@))/(cos75^(@))-(cos75^(@))/(sin75^(@))`
`" "=(sin^(2)75^(@)-cos^(2)75^(@))/(sin75^(@)*cos75^(@))`
`" "=(-2cos150^(@))/(sin150^(@))`
`" "=(-2cos(90^(@)+60^(@)))/(sin(90^(@)+60^(@)))` ltBrgt `" "=(+2sin60^(@))/(cos60^(@))`
`" "=(2*(sqrt(3))/(2))/((1)/(2))=2sqrt(3)`


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