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Smriti Swamy
Asked: 2022-11-10T12:51:35+05:30 In:

Value of the expression:(निम्न्लिखित वयंक का मान क्या है )
`(1+2 sin60^(@)cos60^(@))/(sin60^(@)+cos60^(@))+(1-2 sin60^(@)cos60^(@))/(sin60^(@)-cos60^(@))`
A. `sqrt3`
B. `2sqrt3`
C. 0
D. 2

Value of the expression:(निम्न्लिखित वयंक का मान क्या है )
`(1+2 sin60^(@)cos60^(@))/(sin60^(@)+cos60^(@))+(1-2 sin60^(@)cos60^(@))/(sin60^(@)-cos60^(@))`
A. `sqrt3`
B. `2sqrt3`
C. 0
D. 2
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  1. Correct Answer – a
    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)`

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