1.

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

Answer» Correct Answer - d
`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)`


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