[sin^(-1)(x)/(3)+sin^(-1)(y)/(4)=(pi)/(6)*2(pi],[" (St) "(x^(2))/(9)+(y^(2))/(16)+(xy)/(4sqrt(3))=(1)/(4)]

sin ^ (- 1) ((x) / (3)) + sin ^ (- 1) ((y) / (4)) = (pi) / (6) then prove that (x ^ (2)) / (9) + (y ^ (2)) / (16) + (xy) / (4sqrt (3)) = (1) / (4)

If cos^(-1).(x)/(2) + cos^(-1).(y)/(3) = (pi)/(6) , then prove that (x^(2))/(4) - (xy)/(2sqrt3) + (y^(2))/(9) = (1)/(4)

If cos^(-1).(x)/(2) + cos^(-1).(y)/(3) = (pi)/(6) , then prove that (x^(2))/(4) - (xy)/(2sqrt3) + (y^(2))/(9) = (1)/(4)

If cos^(-1).(x)/(2) + cos^(-1).(y).(3) = (pi)/(6) , then prove that (x^(2))/(4) - (xy)/(2sqrt3) + (y^(2))/(9) = (1)/(4)

If cos^(-1).(x)/(2) + cos^(-1).(y).(3) = (pi)/(6) , then prove that (x^(2))/(4) - (xy)/(2sqrt3) + (y^(2))/(9) = (1)/(4)

(9pi)/(8)-(9)/(4)sin^(-1)""(1)/(3)=(9)/(4)sin^(-1)\ (2sqrt(2))/(3)

sin^(-1)(2x sqrt(1-x^(2)))+sin^(-1)(3x-4x^(3))=(7 pi)/(9)in((1)/(2)*(1)/(sqrt(2))) is

1+sinx + sin^2(x) + .... = 4+2sqrt3, 0ltxltpi, x!=pi, then x = 1) (pi)/(3), (pi)/(4) 2) (pi)/(4), (pi)/(6) 3) (2 pi)/(5), (pi)/(6) 4) (pi)/(3), (2 pi)/(3)

If sin^(-1)x +sin^(-1)y+sin^(-1)z=pi then x^(4)+y^(4)+z^(4)+4x^(2)y^(2)z^(2)=

The integral int_(0)^( pi)sqrt(1+4sin^(2)((x)/(2))-4sin((x)/(2))dx) equal (1)pi-4(2)(2 pi)/(3)-4-4sqrt(3)(3)4sqrt(3)-4(4)4sqrt(3)-4-(pi)/(3)