Find the value of `i^i`.

Find the value of 1+i^(2)+i^(4)+i^(6)+...+i^(2n), where i=sqrt(-1) and n in N .

Find the value of x in each of the following figures if I||m. >

Find the value of: (i) sin 75^(@) (ii) tan 15 ^(@)

If cosx = (-3/5) , x lies in the 3rd Quadrant . Find the value of : (i) sinx (ii) tanx?

Find the value of ( 8!)/( 6! Xx2i)

If a=(1+i)/sqrt2," where "i=sqrt(-1), then find the value of a^(1929) .

Find the value of x and y,if (x+2y)+i(2x-3y) is the conjugate of 5+4i .

Suppose A and B are two non singular matrices such that B != I, A^6 = I and AB^2 = BA . Find the least value of k for B^k = 1

Find the value of x and y so that the vectors 2hat(i)+3hat(j) and xhat(i)+yhat(j) are equal .

Find the value of lambda such that the vectors vec a = 2i + lambda j+ k, vec b = i + 2j +3k are orthogonal