[" (c) If "sin^(-1)x-cos^(-1)x=(pi)/(6)" then "x=?],[[" (i) "1/2," (ii) "sqrt(3)/2," (iii) "-1/2]]

If sin^(-1)x-cos^(-1)x=pi/6 , then x= (a) 1/2 (b) (sqrt(3))/2 (c) -1/2 (d) none of these

If cos ^(-1) x+sin ^(-1) (x)/(2)=(pi)/(6) then x=

If sin^(-1)x-cos^(-1)x=pi/6 , then x= 1/2 (b) (sqrt(3))/2 (c) -1/2 (d) none of these

If x=2sqrt(3)+2sqrt(2) , find : (i) 1/x" (ii) "x+1/x" (iii) "(x+1/x)^(2)

If 4\ cos^(-1)x+sin^(-1)x=pi , then the value of x is (a) 3/2 (b) 1/(sqrt(2)) (c) (sqrt(3))/2 (d) 2/(sqrt(3))

cos ^ (- 1) x + sin ^ (- 1) ((1) / (2) x) = (pi) / (6)

If sin^(-1)x+sin^(-1)y=(2 pi)/(3) ,then the value of cos^(-1)x+cos^(-1)y is (A) (2 pi)/(3) (B) (pi)/(3) (C) (pi)/(2) (D) pi

The value of sin^(-1)(cos(cos^(-1)(cos x)+sin^(-1)(sin x))) where x in((pi)/(2),pi), is equal to (pi)/(2)(b)-pi(c)pi (d) -(pi)/(2)

Prove that (i) "cos " ((pi)/(3) +x) =(1)/(2) ( " cos " x - sqrt(3) sin x) (ii) " sin " ((pi)/(4) + x) + " sin " ((pi)/(4)-x) =sqrt(2) " cos " x (iii) (1)/(sqrt(2)) " cos ((pi)/(4) + x) = (1)/(2) " (cos x - sin x) " (iv) " cos x + cos " ((2pi)/(3) +x) + " cos " ((2pi)/(3)-x) =0

int sqrt((1+sin x))(cos((x)/(2))-sin((x)/(2)))dx=("where "x in(0,pi))[[" (A) "(1+sin x)/(2)+c," (B) "(1+sin x)^(2)+c],[" (C) "(1)/(sqrt(1+sin x)+c),"(D) "sin x+c]]