How do you evaluate $e^{\frac{7 π}{4} i} - e^{\frac{23 π}{12} i}$ $e^( ( 7 pi)/4 i) - e^( ( 23 pi)/12 i)$ using trigonometric functions?

Question

How do you evaluate $e^{\frac{7 π}{4} i} - e^{\frac{23 π}{12} i}$ $e^( ( 7 pi)/4 i) - e^( ( 23 pi)/12 i)$ using trigonometric functions?

1 Answer

Impact of this question

1235 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-07-18T12:24:41

$e^{(7 \frac{π}{4}) i} - e^{(23 \frac{π}{12}) i = - 0.259 - 0.448 i}$ $e^((7pi/4)i)-e^((23pi/12)i= -0.259 - 0.448i$

Explanation:

$e^{(7 \frac{π}{4}) i} = cos 7 \frac{π}{4} + i sin 7 \frac{π}{4} = cos 315 + i sin 315 = 0.707 + (- 0.707) i = 0.707 - 0.707 i$ $e^((7pi/4)i) = cos7pi/4+isin7pi/4 =cos315+isin315=0.707+(-0.707)i=0.707-0.707i$
$e^((23pi/12)i) = cos23pi/12+isin23pi/12 =cos345+isin345=0.966+(-0.259)i=0.966-0.259i :.$
$e^((7pi/4)i)-e^((23pi/12)i = (0.707-0.966)-(.707+.259)i = -0.259-0.448i$ [Ans]

Science

Math

Humanities

... and beyond

How do you evaluate $e^{\frac{7 π}{4} i} - e^{\frac{23 π}{12} i}$ $e^( ( 7 pi)/4 i) - e^( ( 23 pi)/12 i)$ using trigonometric functions?

1 Answer

Explanation:

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

How do you evaluate e^( ( 7 pi)/4 i) - e^( ( 23 pi)/12 i)e7π4i−e23π12i e^( ( 7 pi)/4 i) - e^( ( 23 pi)/12 i) using trigonometric functions?

1 Answer

Explanation:

Related questions

Impact of this question

How do you evaluate $e^{\frac{7 π}{4} i} - e^{\frac{23 π}{12} i}$ $e^( ( 7 pi)/4 i) - e^( ( 23 pi)/12 i)$ using trigonometric functions?