`sin^(- 1)a-cos^(- 1)b=sin^(- 1)(a b-sqrt(1-a^2)sqrt(1-b^2))`

sin ^ (- 1) a-cos ^ (- 1) b = sin ^ (- 1) (ab-sqrt (1-a ^ (2)) sqrt (1-b ^ (2)))

If sin^(-1)a+sin^(-1)b+sin^(-1)c=pi, then a sqrt(1-a^(2))+b sqrt(1-b^(2))+c sqrt(1-c^(2)) is equal to a+b+c( b )a^(2)b^(2)c^(2)2abc(d)4abc

If sin^(-1)a+sin^(-1)b+sin^(-1)c=pi, then the value of asqrt((1-a^2))+bsqrt((1-b^2))+sqrt((1-c^2)) will be 2a b c (b) a b c (c) 1/2a b c (d) 1/3a b c

If sin^(-1)a+sin^(-1)b+sin^(-1)c=pi, then the value of asqrt((1-a^2))+bsqrt((1-b^2))+sqrt((1-c^2)) will be 2a b c (b) a b c (c) 1/2a b c (d) 1/3a b c

The value of sin^(-1)(cot(sin^(-1)((2-sqrt(3))/(4)+(cos^(-1)(sqrt(12)))/(4)+sec^(-1)sqrt(2))))(a)0( b) (pi)/(2)( c) (pi)/(3)( d) none of these

sin^(-1)[sqrt(x^(2)-x^(3))-sqrt(x-x^(3))]=..... a) sin^(-1)x+sin^(-1)sqrt(x) b) sin^(-1)x-sin^(-1)sqrt(x) c) sin^(-1)sqrt(x)-sin^(-1)x d) 2sin^(-1)x

If a=sin^(-1) (-sqrt2/2)+cos^(-1) (-1/2) and b=tan^(-1) (-sqrt3)-cot^(-1) (-1/sqrt3) , then