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ARIHANT MATHS-COMPLEX NUMBERS-Exercise For Session 3
- Find the real part of (1-i)^(-i).
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- The amplitude of e^(e^-(itheta)), where theta in R and i = sqrt(-1), ...
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- If z=ilog(e)(2-sqrt(3)),"where"i=sqrt(-1) then the cos z is equal to
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- If z=(i) ^((i) ^(i)) where i= sqrt (−1) , then z is equal to
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- sqrt((-8-6i)) is equal to (where, i=sqrt(-1)
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- Simplify: (sqrt(5+12 i)+sqrt(5-12 i))/(sqrt(5+12 i)-sqrt(5-12 i))
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- If 0ltamp(z)ltpi,' then 'amp(z)-amp(-z) is equal to
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- If |z(1)|=|z(2)|andamp(z(1))+amp(z(2))=0, then
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- Solve the equation |z|=z+1+2idot
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- The number of solutions of the equation z^(2) + barz =0 is .
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- If zr =cos (ralpha)/(n^2)+isin (ralpha)/(n^2) , where r=1,2,3,......
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- Evaluate int(0)^(π/4)(tan^2x + 1)dx
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- If i z^4+1=0, then prove that z can take the value cospi//8+is inpi//8...
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- If omega(ne1) is a cube root of unity, then (1-omega+omega^(2))(1-omeg...
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- If alpha,beta,gamma are the cube roots of p, then for any x,y,z (x al...
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