(i^(41)+(1)/(i^(71)))

Evaluate the following : (i) i^(7) (ii) i^(51) (iii) (1)/(i) (iv) i^(-71) (v) (i^(37)+(1)/(i^(67)))

Let i^(2)=-1 , then (i^(10)-1/(i^(11)))+(i^(11)-1/(i^(12)))+(i^(12)-1/(i^(13)))+(i^(13)-1/(i^(14)))+(i^(14)+1/(i^(15))) is equal to a) -1+i b) -1-i c) 1+i d) -i

Evaluate the following: (i^(41)+i^((1)/(257)))^(9)

Evaluate the following: (i^(41)+\ 1/i^257)^9

What is the value of (-sqrt(-1))^(4n+3)+(i^(41)+1^(-257))^(9), when n inN ?

Express (1)/(4-5i) in the form of a+ib(i)(4+i5)/(41)(ii)(3+i4)/(41)(iii)(2+i3)/(41) (iv) (2-i3)/(41)

Evaluate : (i) i^(23)" "(ii) i^(998)" "(iii)i^(-998)" "(iv) i^(-71) (v) (sqrt(-1))^(91)" "(vi) (i^(37)xx i^(-61))" "(vii) i^(-1)

Given that, z=(1+2i)/(1-i)=((1+2i)(1+i))/((1-i)(1+i))

Evaluate the following: (i) (sin20^@)/(cos70^@) (ii) (cos19^@)/(sin71^@)