Science (English Medium) Class 12 - CBSE Question Bank Solutions for Mathematics

Find the principal value of the following:

`sin^-1((sqrt3+1)/(2sqrt2))`

Find the principal value of the following:

`sin^-1(cos  (3pi)/4)`

Find the principal value of the following:

`sin^-1(tan  (5pi)/4)`

For the principal value, evaluate of the following:

`cos^-1  1/2 + 2 sin^-1 (1/2)`

For the principal value, evaluate of the following:

`sin^-1(-1/2)+2cos^-1(-sqrt3/2)`

For the principal value, evaluate of the following:

`sin^-1(-sqrt3/2)+cos^-1(sqrt3/2)`

Find the principal value of the following:

`tan^-1(1/sqrt3)`

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)