y=cos^(-1)((3+5cos x)/(5+3cos^(2)x))

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cos^(-1)((3+5cos x)/(5+3cos x))=

(1)/(3+5 cos x)

y=cos^(-1)sqrt((cos3x)/(cos^(3)x)), thenshowthat (dy)/(dx)=sqrt((3)/(cos x cos3x))

(1)/(2)cos^(-1)((5cos x+3)/(5+3cos x))=tan^(-1)((1)/(2)(tan x)/(2))

Prove that ""(1)/(2)cos^(-1)""((5cos x+3)/(5+3 cos x))= tan^(-1)""((1)/(2)tan""(x)/(2))

If y = "cos"^(-1) ((3 + 5 cos x)/(5 + 3 cos x)) , prove that cos x = 2 tan^(-1) (1/2 tan (x/2) )

(1)/(2)cos ^(-1)""((5 cos x +3)/(5+3 cos x))= tan^(-1)""((1)/(2)tan ""(x)/(2))

If y=cos ^(-1) ((3cos x-4sin x )/( 5) ) ,then (dy)/(dx)=

(5x)^(3cos 2x)

If ^(*)y=cos^(^^)(-1)((sqrt(5)sin x+3cos x)/(sqrt(14)))