Home
Class 12
MATHS
Prove that tan^(-1)1 +cos^(-1)(-(1)/(...

Prove that
`tan^(-1)1 +cos^(-1)(-(1)/(2)) +sin^(-1) (-(1)/(2)) =(3pi)/(4)` .

Promotional Banner

Similar Questions

Explore conceptually related problems

Evaluate the following. cos^(-1)(-(1)/(2)) +sin^(-1)(-(1)/(2))

Prove that. tan^(-1)((1)/(4)) +tan^(-1)((2)/(9)) =(1)/(2) cos^(-1) ((3)/(5)) .

Prove that "sin"^(-1)(4)/(5) +"sin"^(-1)(5)/(13) +"sin"^(-1)(16)/(65)=(pi)/(2) .

Prove that tan^(-1) sqrt(x) =(1)/(2) cos^(-1) ((1-x)/(1+x)) , x in [0, 1]

Prove that sin^(-1)((8)/(17)) +sin^(-1)((3)/(5)) =cos^(-1)((36)/(85)) .

Prove that 2"tan"^(-1)(1)/(2) +"tan"^(-1)(1)/(7) ="tan"^(-1)(31)/(17) .

Prove that "tan"^(-1)1 +tan^(-1)2 +tan^(-1)3 =pi .

Prove that "sin"^(-1)(12)/(13) +"cos"^(-1)(4)/(5) +"tan"^(-1) (63)/(16)=pi .

Prove that "sin"^(-1)(5)/(13) +"cos"^(-1)(3)/(5) ="tan"^(-1)(63)/(16) .

Prove that tan((pi)/(4)+(1)/(2) "cos"^(-1)(a)/(b)) +tan((pi)/(4) -(1)/(2) "cos"^(-1)(a)/(b)) =(2b)/(a) .