Course Code
mth210
Question
\(cos\theta + isin\theta\) is equal to
Answer
-1
Question
Compute \( (1+i)^24\)
Answer
\(2^12\)
Question
Find \( (1/2+1/2i)^10\)
Answer
1/32i
Question
Evaluate \((1+i)^20=\) using De Moivre theorem
Answer
-1204
Question
Evaluate \(e^{i\pi\)
Answer
-1
Question
for any \(\theta ,\theta _{1},\theta _{2}\epsilon R\) , \(\frac{d}{d\theta }(e^{i\theta })=? \)
Answer
\(ie^{i\theta\)
Question
Find the argument and absolute value of Z=(1+i)(2+i)/3−i
Answer
|z|= 1 , arg \(z=\pi /2\)
Question
|z|^2 is equal to
Answer
\(z\overline{z}\)
Question
Find the quotient (6+2i𝑖)(1+3i𝑖)/−1+i𝑖−2
Answer
(−8/5−1/5𝑖i )
Question
Multiply (2+3i)(7+5i)
Answer
(-7 + 22i )
Question
\(cos\theta + isin\theta\) is equal to
Answer
-1
Question
Compute \( (1+i)^24\)
Answer
\(2^12\)
Question
Find \( (1/2+1/2i)^10\)
Answer
1/32i
Question
Evaluate \((1+i)^20=\) using De Moivre theorem
Answer
-1204
Question
Evaluate \(e^{i\pi\)
Answer
-1
Question
for any \(\theta ,\theta _{1},\theta _{2}\epsilon R\) , \(\frac{d}{d\theta }(e^{i\theta })=? \)
Answer
\(ie^{i\theta\)
Question
Find the argument and absolute value of Z=(1+i)(2+i)/3−i
Answer
|z|= 1 , arg \(z=\pi /2\)
Question
|z|^2 is equal to
Answer
\(z\overline{z}\)
Question
Find the quotient (6+2i𝑖)(1+3i𝑖)/−1+i𝑖−2
Answer
(−8/5−1/5𝑖i )
Question
Multiply (2+3i)(7+5i)
Answer
(-7 + 22i )
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