The value of x in the equation(निम्न्लिखित समीकरण का मान ज्ञात करे )
`"tan"^(2)(pi)/(4)-"cos"^(2)(pi)/(3)=x` `"sin" (pi)/(4) "cos"(pi)/(4)tan`(pi)/(3)is `

Options

A. `(3sqrt3)/(4)`
B. `(2)/(sqrt3)`
C. `(1)/(sqrt3)`
D. `(sqrt3)/(2)`

Answer

d

Explanation

`tan^(2)(n)/(4)-cos^(2)(n)/(3)=x sin(pi)/(4)cos(n)/(4)tan(n)/(3)`
`rArrtan^(2)45^(@)-cos^(2)60^(@)=xsin45^(@)`
`rArr 1-(1)/(4)=xxx(1)/sqrt(2)xx(1)/sqrt(2)xxsqrt(3)`
`rArr(3)/(4)=(x xxsqrt(3))/(2)`
`rArrx=sqrt(3)/(2)`