Find the range of values of t for which
`" " 2sint=(1-2x+5x^(2))/(3x^(2)-2x-1),t in [-pi/2,pi/2].`

The value of a for which a x^2+sin^(-1)(x^2-2x+2)+cos^(-1)(x^2-2x+2)=1 has a real solution is pi/2 (b) -pi/2 (c) 2/pi (d) -2/pi

The value of a for which a x^2+sin^(-1)(x^2-2x+2)+cos^(-1)(x^2-2x+2)=0 has a real solution is pi/2 (b) -pi/2 (c) 2/pi (d) -2/pi

Find the range of f(x) = (sin^(-1) x)^(2) + 2pi cos^(-1) x + pi^(2)

Find the range of f(x)= (1)/(pi)sin^(-1)x+tan^(-1)+(x+1)/(x^(2)+2x+5)

Find the degree of each of the following polynomials : (i) 5x^(2)-2x+1 " " (ii) 1-5t+t^(4) " " (iii) 7 " " (iv) x^(4)-3x^(6)+2

Find the value of "cos"(2cos^(-1)x+sin^(-1)x) at x=1/5, where 0lt=pi and -pi/2lt=sin^(-1)xlt=pi/2dot

In the interval pi/2 lt x lt pi, find the value of x for which the matrix [(2sinx,3), (1 ,2sinx)]

The value of int_(-pi//2)^(pi//2) ( x^(5)+ x sin^(2)x +2 tan^(-1)x ) dx is

Find the value of x in [-pi,pi] for which f(x)=sqrt((log)_2(4sin^2x-2sqrt(3)sinx-2sinx+sqrt(3)+1)) is defined.

The range of the function f(x)=1+sinx+sin^(3)x+sin^(5)x+…… when x in (-pi//2,pi//2) , is