निम्न्लिखित व्यंजक का मान क्या है
`(1+2 sin60^(@)cos60^(@))/(sin60^(@)+cos60^(@))+(1-2 sin60^(@)cos60^(@))/(sin60^(@)-cos60^(@))`

Options

A. `sqrt3`
B. `2sqrt3`
C. 0
D. 2

Answer

a

Explanation

The value of
`rArr=(1+2sin60^(@) cos60^(@))/(sin60^(@)+cos60^(@))+(1-2sin60^(@)cos60^(@))/(sin60^(@)-cos60^(@))`
`rArr(1+ 2 xxsqrt(3)/(2)(1)/(2))/(sqrt(3)/(2)+(1)/(2))+(1-2xxsqrt(3)/(2)xx(1)/(2))/(sqrt(3)/(2)-(1)/(2))`
`rArr(2+sqrt(3))/(sqrt(3)+1)+(2-sqrt(3))/(sqrt(3)-1)`
`rArr(2sqrt(3)+3-2-sqrt(3)+2- sqrt(3))/(sqrt(3)^(2)-1^(2))`
`rArr(4sqrt(3))/(2)rArrsqrt(3)`