यदि sin^(-1)2x sqrt(1-x^(2))=a sin^(-1)x और x in [-1/sqrt(2),1/sqrt(2)] है, तो (2-a^2)/3 का मान...

(sin^(-1)x)/(sqrt(1-x^(2))

sin^(-1)(2x sqrt(1-x^(2))),x in[(1)/(sqrt(2)),1] is equal to

sin^(-1)(2x sqrt(1-x^(2)))=2sin^(-1)x is true if- x in[0,1] b.[-(1)/(sqrt(2)),(1)/(sqrt(2))] c.[-(1)/(2),(1)/(2)]d[-(sqrt(3))/(2),(sqrt(3))/(2)]

Prove that : sin^(-1) (2x sqrt(1-x^(2)))= 2 sin^(-1) x, - 1/(sqrt(2)) le x le 1/(sqrt(2))

Prove that : sin^(-1) (2x sqrt(1-x^(2)) ) = 2 sin^(-1) x , -1/(sqrt(2))le x le 1/(sqrt(2)

Show that (i) sin^(-1)(2xsqrt(1-x^2))=2sin^(-1)x ,-1/(sqrt(2))lt=xlt=1/(sqrt(2)) (ii) sin^(-1)(2xsqrt(1-x^2))=2cos^(-1)x ,1/(sqrt(2))lt=xlt=1

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

y=sin^(-1)((x)/(sqrt(1+x^(2))))+cos^(-1)((1)/(sqrt(1+x^(2))))

(tan^(-1)x)/(sqrt(1-x^(2))) withrespectto sin ^(-1)(2x sqrt(1-x^(2)))

Solve : sin^(-1)( x) + sin^(-1)( 2x) = sin^(-1)(sqrt(3)/2) .