For `x in(0,1)`, let `alpha=sin^(-1)x,beta=x,gamma=tan^(-1)x, delta=cot^(-1)x-(pi)/(2)`. Which of the following is true ?

sin(cot^(-1)(tan(tan^(-1)x))),x in(0,1]

Q.if solution of the equation 2sin^(-1)x cos^(-1)x-2 pi sin^(-1)x-pi cos^(-1)x+pi^(2)=0 are alpha and beta such that then which of the following is lare correct?

Let f(x) = ((x - gamma)(x - delta)) / ((x-alpha)(a-beta)) where, gamma < alpha < delta < beta , then which of the following is correct

If tan alpha=x+1,tan beta=x-1, show that 2cot(alpha-beta)=x^(2)

If tan alpha=x+1,tan beta=x-1, show that 2cot(alpha-beta)=x^(2)

If tan alpha=x+1,tan beta=x-1, show that 2cot(alpha-beta)=x^(2)

Let alpha,beta and gamma be the roots of the equation x^(3)-x-1=0 . If P_(k)=(alpha)^(k)+(beta)^(k)+(gamma)^(k),kge1 , then which one of the following statements is not true?

Let alpha,beta and gamma be the roots of the equation x^(3)-x-1=0 . If P_(k)=(alpha)^(k)+(beta)^(k)+(gamma)^(k),kge1 , then which one of the following statements is not true?

If alpha=tan^(-1)x+tan^(-1)((1)/(x)) beta=cot^(-1)x+cot^(-1)((1)/(x)) then the value of alpha^(2)+beta^(2) can be equal to