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GuDViN [60]
4 years ago
8

Use De Moivre's theorem to express cos 5θ and sin 5θ in terms of sin θ and cos θ.

Mathematics
1 answer:
Sonja [21]4 years ago
7 0
From the de Moivre's we have,
<span>
(cosθ+isinθ)^n=cos(nθ)+isin(nθ)
</span><span>
Therefore, 
</span><span>
R((cosθ+isinθ)^5)=cos(5θ)I((cosθ+isinθ)^5)=sin(5θ)
</span><span>
Simplifying,
</span><span>
cos^5(θ)−10(sin^2(θ))(cos^3(θ))+5(sin^4(θ))(cosθ)=cos(5θ) </span><span>
</span>
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the distance between nick and sara's house is 546m. Nick can walk 1.3m/sec. using the formula d=rt, where d is distance, r is ra
Paraphin [41]
Rearrange the formula to solve for time. Which is the distance over the rate. Then divide 546 meters by 1.3 meters per second. The meter units cancel each other out leaving you with : t: 420.
7 0
3 years ago
Read 2 more answers
Petra also has this information about the arrival times of trains last week. The train company has a target 98% of trains must a
dmitriy555 [2]

Answer:

No

Step-by-step explanation:

The total number of trains is 287 + 54 + 17 + 5 = 363.

Of these, the number of trains that arrived no more than 10 minutes late is 287 + 54 = 341.

The proportion is p = 341/363 = 0.94.

94% of the trains arrived no more than 10 minutes late, so the company did not meet its target.

8 0
3 years ago
I need help with this
STALIN [3.7K]

the answer to the problem is150

4 0
4 years ago
Compare 2x+8&gt;18 and 2x+8 greaterthan or equal to 18
Sergio039 [100]
2x + 8 > 18                      2x+ 8 ≥ 18
2x > 18 -8                            2x ≥ 18 - 8
2x > 10                                 2x ≥ 10
x > 10/2                                  x ≥ 10/2
x>5                                          x ≥ 5

     The answer that combines both inequality is x ≥ 5
6 0
3 years ago
Shania wants to purchase a book bag with an original price of $28. 0. She also bought a necklace for $35. 75. There is a storewi
omeli [17]
Answer:
$24.36 for the bookbag if they tax the original price
$23.97 if they tax the sales price
$31.10 for the necklace if they tax the original price
$30.60 if they tax the sales price

So an overall of $55.46 was spent for a taxing of the original price and an overall of $54.57 was spent for the taxing of the sales price.

Step-by-step explanation:
20% of $28.00 is $6.60, subtract $6.60 from $28.00 and you'll get $22.40.
7% of $28.00 is $1.96, add $1.96 to $22.40 and you'll get $24.36 (for taxing of the original price). If you want the taxing of the sales price then you'd do 7% of 22.40 which is $1.57, add that to $22.40 and you get $23.97

Then you do the same for the necklace:
20% of $35.75 is $7.15, subtract $7.15 from $35.75 and you'll get $28.60.
7% of $35.75 is $2.50, add $2.50 to $28.60 and you'll get $31.10 (for taxing of the original price). If you want the taxing of the sales price then you'd do 7% of 28.60 which is $2.00, add that to $28.60 and you get $30.60
Add the final numbers and you'll get your overall.

Hope this helps
4 0
2 years ago
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