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Zinaida [17]
3 years ago
5

Prove the following with Euler's formula to write e^itheta and e^-itheta in terms of sine and cosine. Then subtract them.

Mathematics
1 answer:
kirill115 [55]3 years ago
8 0
Euler's formula tells us that

e^{i\theta}=\cos\theta+i\sin\theta
e^{-i\theta}=\cos\theta-i\sin\theta

Suppose we subtract the two. This eliminates the cosine terms.

e^{i\theta}-e^{-i\theta}=i\sin\theta-(-i\sin\theta)=2i\sin\theta

Divide both sides by 2i and you're done.
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quester [9]
36 I believe.....................
7 0
3 years ago
Read 2 more answers
Help please thank you
Anuta_ua [19.1K]

Answer:

5+6+7+8+9+10+11

Step-by-step explanation:

The initial value is 5 miles

We add 1 mile each day

a1 =5

a2 = 5+1 =6

a3 = 6+1=7

a4 =7+1 = 8

a5= 8+1 =9

a6= 9+1=10

a7 = 10+1 = 11

The series is the sum of the seven terms

a1+a2+a3+a4+a5+a6+a7

5+6+7+8+9+10+11

5 0
4 years ago
the area of rectangular park is 3/5 square mile, the length of the park is 7/8 mile,what is the width of the park
Jet001 [13]
Area=legnth times width
area=3/5
legnth=7/8
width=x
3/5=7/8 times x
divide both sides by 7/8 (aka multiply both sides by 8/7 to cancel fraction because 7/8 times 8/7=56/56=1)

8/7 times 3/5=56/56 times x
24/35=1 times x
24/35=x

width=24/35 mile
6 0
3 years ago
The stack on the left is made up of 15 pennies, and the stack on the right is also made up of 15 pennies. If the volume of the s
Stolb23 [73]
I was told the answer was 375mm3 

6 0
3 years ago
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I need help plzzzzzzz
NeTakaya
The fourth one or the second one on the bottom
5 0
4 years ago
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