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

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

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The function f(x)=sqrt(cos(sin x))+sin^(-1)((1+x^(2))/(2x)) is defined for:

find the domain and range of f(x)=sqrt(cos(sin x))+sin^(-1)((1+x^(2))/(2x))

The domain of the function: f(x) = sqrt(sin^(-1)(log_(2)x)) + sin^(-1)((1+x^(2))/(2x)) + sqrt(cos(sinx)) is:

sin^(2)(cos^(-1)x)+cos^(2)(sin^(-1)(sqrt(1-x^(2)))) = ________ (0ltxlt1)

Statement -1: if -1lexle1 then sin^(-1)(-x)=-sin^(-1)x and cos^(-1)(-x)=pi-cos^(-1)x Statement-2: If -1lexlex then cos^(-1)x=2sin^(-1)sqrt((1-x)/(2))= 2cos^(-1)sqrt((1+x)/(2))

Statement -1: if -1lexle1 then sin^(-1)(-x)=-sin^(-1)x and cos^(-1)(-x)=pi-cos^(-1)x Statement-2: If -1lexlex then cos^(-1)x=2sin^(-1)sqrt((1-x)/(2))= 2cos^(-1)sqrt((1+x)/(2))

int(cos xdx)/(sqrt(1+sin x))=2((sin x)/(2)+(cos x)/(2))+c