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2 {(0.9396926207859084 + 0.3420201433256687)} \cdot 3 {(0.984807753012208 + i 0.17364817766693033)}
Evaluate trigonometric functions in the problem
2\times 1.2817127641115771\times 3\left(0.984807753012208+0.17364817766693033i\right)
Add 0.9396926207859084 and 0.3420201433256687 to get 1.2817127641115771.
2.5634255282231542\times 3\left(0.984807753012208+0.17364817766693033i\right)
Multiply 2 and 1.2817127641115771 to get 2.5634255282231542.
7.6902765846694626\left(0.984807753012208+0.17364817766693033i\right)
Multiply 2.5634255282231542 and 3 to get 7.6902765846694626.
7.6902765846694626\times 0.984807753012208+7.6902765846694626\times \left(0.17364817766693033i\right)
Multiply 7.6902765846694626 times 0.984807753012208+0.17364817766693033i.
7.5734440033907306073691825994208+1.335402514682517028464557832740658i
Do the multiplications.
2 {(0.9396926207859084 + 0.3420201433256687)} \cdot 3 {(0.984807753012208 + i 0.17364817766693033)}
Evaluate trigonometric functions in the problem
Re(2\times 1.2817127641115771\times 3\left(0.984807753012208+0.17364817766693033i\right))
Add 0.9396926207859084 and 0.3420201433256687 to get 1.2817127641115771.
Re(2.5634255282231542\times 3\left(0.984807753012208+0.17364817766693033i\right))
Multiply 2 and 1.2817127641115771 to get 2.5634255282231542.
Re(7.6902765846694626\left(0.984807753012208+0.17364817766693033i\right))
Multiply 2.5634255282231542 and 3 to get 7.6902765846694626.
Re(7.6902765846694626\times 0.984807753012208+7.6902765846694626\times \left(0.17364817766693033i\right))
Multiply 7.6902765846694626 times 0.984807753012208+0.17364817766693033i.
Re(7.5734440033907306073691825994208+1.335402514682517028464557832740658i)
Do the multiplications in 7.6902765846694626\times 0.984807753012208+7.6902765846694626\times \left(0.17364817766693033i\right).
7.5734440033907306073691825994208
The real part of 7.5734440033907306073691825994208+1.335402514682517028464557832740658i is 7.5734440033907306073691825994208.