PUC Science 2nd PUC Class 12 - Karnataka Board PUC Question Bank Solutions for Mathematics

If `(sin^-1x)^2 + (sin^-1y)^2+(sin^-1z)^2=3/4pi^2,`  find the value of x² + y² + z² 

Find the domain of definition of `f(x)=cos^-1(x^2-4)`

Find the domain of  `f(x) =2cos^-1 2x+sin^-1x.`

Find the domain of `f(x)=cos^-1x+cosx.`

​Find the principal values of the following:
`cos^-1(-sqrt3/2)`

​Find the principal values of the following:

`cos^-1(-1/sqrt2)`

​Find the principal values of the following:

`cos^-1(sin   (4pi)/3)`

​Find the principal values of the following:

`cos^-1(tan  (3pi)/4)`

`sin^-1(sin  pi/6)`

`sin^-1(sin  (7pi)/6)`

`sin^-1(sin  (5pi)/6)`

`sin^-1(sin  (13pi)/7)`

`sin^-1(sin  (17pi)/8)`

`sin^-1{(sin - (17pi)/8)}`

`sin^-1(sin3)`

`sin^-1(sin4)`

`sin^-1(sin12)`

`sin^-1(sin2)`

Evaluate the following:

`cos^-1{cos(-pi/4)}`

Evaluate the following:

`cos^-1{cos  (5pi)/4}`