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Fill in the blank
e-iπ/5 =
coscos π/5 + i sinsin π/5
sinsin π/5 – i coscos π/5
sinsin π/5 + coscos π/5
eiπ/7 =
coscos π/7 + i sinsin π/7
sinsin π/7 - i coscos π/7
sinsin π/7 + i coscos π/7
What is relationship between sine, cosine and the exponential function?
eix = coscosx + i sinsinx
eix = coscosx - i sinsinx
eix = sinsinx + i coscosx
coscosx=
(e-ix – e–ix)/2i
(e-ix + e–ix)/2i
(e-ix – e–ix)/i
coscos π/5 - i sinsin π/5
e-iπ/9 =
coscos π/9 - i sinsin π/9
sinsin π/9 - i coscos π/9
sinsin π/9 + i coscos π/9
Which of the following trigonometric functions is equal to the imaginary part of the complex exponential function eix ?
sinsinx
coscosx
tantanx
Which of the following trigonometric functions is equal to the real part of the complex exponential function eix ?
e-ix =
coscosx -i sinsinx
sinsinx - i coscosx
sinsinx + coscosx
Sinsinx =
(e-ix -e-ix)/2i
(e-ix+ e-ix)/2i
(e-ix -e-ix)/i
It is done.