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

Evaluate:

`cos{sin^-1(-7/25)}`

Let R be the relation on the set A = {1, 2, 3, 4} given by R = {(1, 2), (2, 2), (1, 1), (4, 4), (1, 3), (3, 3), (3, 2)}. Then, _____________________ .

Evaluate:

`sec{cot^-1(-5/12)}`

Let A = {1, 2, 3}. Then, the number of equivalence relations containing (1, 2) is ______.

Evaluate:

`cot{sec^-1(-13/5)}`

The relation R = {(1, 1), (2, 2), (3, 3)} on the set {1, 2, 3} is ___________________ .

Evaluate:

`tan{cos^-1(-7/25)}`

Evaluate:

`cosec{cot^-1(-12/5)}`

Evaluate:

`cos(tan^-1  3/4)`

Evaluate: `sin{cos^-1(-3/5)+cot^-1(-5/12)}`

Evaluate: 

`cot(sin^-1  3/4+sec^-1  4/3)`

Evaluate:

`sin(tan^-1x+tan^-1  1/x)` for x < 0

Evaluate:

`sin(tan^-1x+tan^-1  1/x)` for x > 0

Evaluate:

`cot(tan^-1a+cot^-1a)`

Evaluate:

`cos(sec^-1x+\text(cosec)^-1x)`,|x|≥1

If `cos^-1x + cos^-1y =pi/4,`  find the value of `sin^-1x+sin^-1y`

If `sin^-1x+sin^-1y=pi/3`  and  `cos^-1x-cos^-1y=pi/6`,  find the values of x and y.

If `cot(cos^-1  3/5+sin^-1x)=0`, find the values of x.

If `(sin^-1x)^2+(cos^-1x)^2=(17pi^2)/36,`  Find x

`sin(sin^-1  1/5+cos^-1x)=1`