If `tanalpha=(sqrt3+1)/(sqrt3-1)` then the expression `cos2alpha+(2+sqrt3)sin2alpha` is

tan alpha=(sqrt(3)+1)/(sqrt(3)-1) then the expression cos2 alpha+(2+sqrt(3))sin2 alpha is

If tanalpha=(sqrt(3)+1)/(sqrt(3)-1) , then the expression cos 2alpha +(2+sqrt(3))sin 2alpha is

If tanalpha=(sqrt(3)+1)/(sqrt(3)-1) , then the expression cos 2alpha +(2+sqrt(3))sin 2alpha is

If tanalpha=(sqrt(3)+1)/(sqrt(3)-1) , then the expression cos 2alpha +(2+sqrt(3))sin 2alpha is

If tan alpha = sqrt3+2 , then the value of tan alpha - cot alpha is

If (3 pi)/(4)

If sec alpha=(2)/(sqrt3), the find the value of (1-"cosec "alpha)/(1+"cosec "alpha) , where alpha is in IV quadrant.

Givent that (pi)/(2)

If 0ltalpha,betaltpi and cos alpha+cos beta -cos(alpha+beta)=(3)/(2) , then the value of sqrt3 sin alpha+cos alpha is equal to