Page 27 - Complex numbers

Example 7:

Euler’s Equation states,

= | |{cos( ) + sin( )}

Also

= | | {cos( ) + sin( )}

= | | {cos( ) + sin( )}
where ∈ ℝ and,

2
2
| | = √[ ( )] + [ ( )] and = tan −1 ( ( ) )
( )
Determine the value of the following,

1. √4.28 + 8.13
2. 1
√2.89−9.39
3. (1.058 + 5.35 ) 2.6

4. 1
(9.27+7.49 ) 1.1

Express Euler’s equation as,

| | {cos( ) + sin( )} 1

F is now the index. Set your calculator to calculate
radians (q(SETUP)3). There is a function in the

calculator arg(A) = θ which will be used in the

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