Find the following:
`2/(3)+1/(3)+1`

Find the following: 1/(2)+1/(3)+1/(4)

Find the following sums : (i) 1 + 2 + 3 + …+ 30 (ii) 1^(2) + 2^(2) + 3^(2) + …+35^(2) (ii) 1^(3) + 2^(3) + 3^(3) +…+ 20^(3) .

Find the values of each of the following : (1/2)^(-1)+\ (1/3)^(-1)+\ (1/4)^(-1) (1/2)^(-2)+\ (1/3)^(-2)+(1/4)^(-2)

Evaluate the following : sin ^(2) ( cos ^(-1) . 1/2) + cos^(2) ( sin^(-1) . 1/3) .

Evaluate the following: ([(1,3),( -1,-4))]+[(3 ,-2 ),(-1 ,1)]) [(1 ,3,5),( 2 ,4 ,6)]

Find the inverse relation R^(-1) in the following case: R :{(1,2),(1,3),\ (2, 3 ),\ (3,2),\ (5,6)}

Evaluate the following sec ( cos^(-1) ( 2/3)) .

Evaluate each of the following: (i) cot^(-1)(1/(sqrt(3)))-"cosec"^(-1)(-2)+sec^(-1)(2/(sqrt(3))) (ii) cot^(-1){2cos(sin^(-1)((sqrt(3))/2))}

For the principal values, evaluate each of the following : (i) sin^(-1)(-1/2)+2cos^(-1)(-(sqrt(3))/2) (ii) sin^(-1)(-(sqrt(3))/2)+cos^(-1)((sqrt(3))/2)

Evaluate the following: \ (sqrt(3)+1)^5-(sqrt(3)-1)^5