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" 5."(cos^(-1)(x)/(2))/(sqrt(2x+7)),-2...

" 5."(cos^(-1)(x)/(2))/(sqrt(2x+7)),-2

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Range of the function f(x)=cos^(-1)((1+x^(2))/(2x))+sqrt(5-x^(2)) is

f(x)=sqrt(sin(cos x))+ln(-2cos^(2)x+3cos x+1)+e^(cos^(-1))((2sin x+1)/(2sqrt(2sin x)))

cos^(-1)x = tan^(-1)x , then: a. x^2=((sqrt(5)-1)/2) b. x^2=((sqrt(5)+1)/2) c. sin(cos^(-1)x)=((sqrt(5)-1)/2) d. tan(cos^(-1)x)=((sqrt(5)-1)/2)

If quad x_(1)=cos^(-1)((3)/(5))+cos^(-1)((2sqrt(2))/(3)) and x_(2)=sin^(-1)((3)/(5))+sin^(-1)((2sqrt(2))/(5))

If x in (0,pi/2), then show that cos^(-1)(7/2(1+cos2x)+sqrt((sin^2x-48cos^2x))sinx)=x-cos^(-1)(7cosx)

If x in (0,pi/2), then show that cos^(-1)(7/2(1+cos2x)+sqrt((sin^2x-48cos^2x))sinx)=x-cos^(-1)(7cosx)

If x in (0,pi/2), then show that cos^(-1)(7/2(1+cos2x)+sqrt((sin^2x-48cos^2x))sinx)=x-cos^(-1)(7cosx)

If x in (0,pi/2), then show that cos^(-1)(7/2(1+cos2x)+sqrt((sin^2x-48cos^2x))sinx)=x-cos^(-1)(7cosx)

If x in(0,(pi)/(2)), thenshowthat(d)/(dx)cos^(-1){(7)/(2)(1+cos2x)+(sqrt(sin^(2)x-48cos^(2)x))sin x}=1+(7sin x)/(sqrt(sin^(2)-48cos^(2)x))