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dusya [7]
3 years ago
12

HELP PLEASE! 50 POINTS, WILL MARK BRAINLIEST WHOEVER IS FIRST!

Mathematics
1 answer:
Temka [501]3 years ago
4 0

95

Step-by-step explanation:

she would have to get At Least 95 or better to balance it out

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Using Euler's relation, derive the following relationships:a. Cosθ=½(e^jθ+e^−jθ)b. Sinθ=½(e^jθ−e(^−jθ)
Montano1993 [528]

Answer:

a. cosθ = ¹/₂[e^jθ + e^(-jθ)] b. sinθ = ¹/₂[e^jθ - e^(-jθ)]

Step-by-step explanation:

a.We know that

e^jθ = cosθ + jsinθ and

e^(-jθ) = cosθ - jsinθ

Adding both equations, we have

e^jθ = cosθ + jsinθ

+

e^(-jθ) = cosθ - jsinθ

e^jθ + e^(-jθ) = cosθ + cosθ + jsinθ - jsinθ

Simplifying, we have

e^jθ + e^(-jθ) = 2cosθ

dividing through by 2 we have

cosθ = ¹/₂[e^jθ + e^(-jθ)]

b. We know that

e^jθ = cosθ + jsinθ and

e^(-jθ) = cosθ - jsinθ

Subtracting both equations, we have

e^jθ = cosθ + jsinθ

-

e^(-jθ) = cosθ - jsinθ

e^jθ + e^(-jθ) = cosθ - cosθ + jsinθ - (-jsinθ)

Simplifying, we have

e^jθ - e^(-jθ) = 2jsinθ

dividing through by 2 we have

sinθ = ¹/₂[e^jθ - e^(-jθ)]

4 0
3 years ago
Triangle ABC is translated and then reflected to map triangle A"B"C" as shown.
makvit [3.9K]

Answer:

Step-by-step explanation:

3 0
3 years ago
12. State whether the number 97 is prime, composite, or neither.
Sophie [7]

Answer:

97 is a prime number.

I hope this helps <3


8 0
3 years ago
Phoenix is selling cookies for $2 each and cups of lemonade for $1.50 each. She hopes to raise $50. On scratch paper, write an e
Nadusha1986 [10]
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Happy studying ^-^



8 0
3 years ago
What is 5,267 rounded to the nearest ten?
Soloha48 [4]

Answer:

2,270

Step-by-step explanation:

If you look at the last two numbers, then you can see that the closest ten to 67 is 70.

8 0
3 years ago
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