How do you multiply $e^{\frac{7 π}{12} i} \cdot e^{3 \frac{π}{2} i}$ $e^(( 7 pi )/ 12 i) * e^( 3 pi/2 i )$ in trigonometric form?

Question

How do you multiply $e^{\frac{7 π}{12} i} \cdot e^{3 \frac{π}{2} i}$ $e^(( 7 pi )/ 12 i) * e^( 3 pi/2 i )$ in trigonometric form?

1 Answer

Impact of this question

1608 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-04-03T18:51:00

$e^{i x} = cos x + i sin x$ $e^(ix) = cosx + isinx$
$e^{(\frac{7 π}{12}) i} = cos (\frac{7 π}{12}) + i sin (\frac{7 π}{12})$ $e^(((7pi)/12)i) = cos((7pi)/12) + isin((7pi)/12)$
$e^{(\frac{3 π}{2}) i} = cos (\frac{3 π}{2}) + i sin (\frac{3 π}{2})$ $e^(((3pi)/2)i) = cos((3pi)/2) + isin((3pi)/2)$

Explanation:

Euler's identity. Multiply the equivalent trigonometric expressions and simplify.

Science

Math

Humanities

... and beyond

How do you multiply $e^{\frac{7 π}{12} i} \cdot e^{3 \frac{π}{2} i}$ $e^(( 7 pi )/ 12 i) * e^( 3 pi/2 i )$ in trigonometric form?

1 Answer

Explanation:

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

How do you multiply e^(( 7 pi )/ 12 i) * e^( 3 pi/2 i ) e7π12i⋅e3π2ie^(( 7 pi )/ 12 i) * e^( 3 pi/2 i ) in trigonometric form?

1 Answer

Explanation:

Related questions

Impact of this question

How do you multiply $e^{\frac{7 π}{12} i} \cdot e^{3 \frac{π}{2} i}$ $e^(( 7 pi )/ 12 i) * e^( 3 pi/2 i )$ in trigonometric form?