`cos^(-1)(-1/2)`

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The value of tan^(-1)(1)+cos^(-1)(-(1)/(sqrt2)) is:

If f(x)=cos^(-1)x+cos^(-1){(x)/(2)+(1)/(2)sqrt(3-3x^(2))} then

cos("sin"^(-1)(1)/(2)+"cos"^(-1)(1)/(3))=

Prove that cos^(-1){(1+x)/(2)}=(cos^(-1)x)/(2)

2cos^(-1)x=cos^(-1)(2x^(2)-1)

if cos^(-1)((1-a^(2))/(1+a^(2)))-cos^(-1)((1-b^(2))/(1+b^(2)))=2tan^(-1)x then x is:

The equation 2cos^(-1)x=cos^(-1)(2x^(2)-1) is satisfied by

cos^(-1).((2x)/(1+x^(2)))

Prove that : cos ^(-1) ((1- a^(2))/(1+a)) + cos ^(-1)((1-b^(2))/(1+b^(2))) = 2 tan ^(-1) .(a+b)/(1-ab)

If cos^(-1) ((1-a^(2))/(1+a^(2)))- cos^(-1) ((1-b^(2))/(1+b^(2))) = 2 tan^(-1) x , then x is