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

Find the principal value of the following:

`tan^-1(-1/sqrt3)`

Find the principal value of the following:

`tan^-1(cos  pi/2)`

Find the principal value of the following:

`tan^-1(2cos  (2pi)/3)`

For the principal value, evaluate of the following:

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

For the principal value, evaluate of the following:

`tan^-1{2sin(4cos^-1  sqrt3/2)}`

Find the principal value of the following:

`sec^-1(-sqrt2)`

Find the principal value of the following:

`sec^-1(2)`

Find the principal value of the following:

`sec^-1(2sin  (3pi)/4)`

Find the principal value of the following:

`sec^-1(2tan  (3pi)/4)`

For the principal value, evaluate the following:

`tan^-1sqrt3-sec^-1(-2)`

For the principal value, evaluate the following:

`sin^-1(-sqrt3/2)-2sec^-1(2tan  pi/6)`

​Find the principal value of the following:

`cosec^-1(-sqrt2)`

​Find the principal value of the following:

cosec^-1(-2)

​Find the principal value of the following:

`\text(cosec)^-1(2/sqrt3)`

​Find the principal value of the following:

`cosec^-1(2cos  (2pi)/3)`

For the principal value, evaluate the following:

`sin^-1(-sqrt3/2)+\text{cosec}^-1(-2/sqrt3)`

For the principal value, evaluate the following:

`sec^-1(sqrt2)+2\text{cosec}^-1(-sqrt2)`

For the principal value, evaluate the following:

`sin^-1[cos{2\text(cosec)^-1(-2)}]`

For the principal value, evaluate the following:

`cosec^-1(2tan  (11pi)/6)`

Find the principal value of the following:

`cot^-1(-sqrt3)`