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vredina [299]
3 years ago
7

Find an identity for cos(4t)

Mathematics
1 answer:
s344n2d4d5 [400]3 years ago
5 0
We must know that \cos(2x)=2\cos^2(x)-1. So:

\cos(4t)=\cos(2\cdot2t)\\\\
\cos(4t)=2\cos^2(2t)-1\\\\
\cos(4t)=2(2\cos^2(t)-1)^2-1\\\\
\cos(4t)=2(4\cos^4(t)-4\cos^2(t)+1)-1\\\\
\cos(4t)=8\cos^4(t)-8\cos^2(t)+2-1\\\\
\boxed{\cos(4t)=8\cos^4(t)-8\cos^2(t)+1}
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925 round to the nearest hundred
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3 years ago
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Express the ratio in the simplest form. 20 gallons to 0.75 gallons
expeople1 [14]

ANSWER

The ratio in the simplified form is

80:3

EXPLANATION

We want to express 20 gallons to 0.75 gallons as a ratio in its simplest form.

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20:0.75

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20: \frac{3}{4}

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3 years ago
Irrational conjugate theorem
podryga [215]

Answer:

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Step-by-step explanation:

The irrational conjugate theorem states that if a polynomial equation has a root (a + √b), then we can say that the conjugate of (a + √b), i.e. (a - √b) will also be another root of the polynomial.

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7 0
3 years ago
40 percent of what number is 520. draw a diagram of the problem
ser-zykov [4K]

Answer:

Step-by-step explanation:

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Answer:

False (I assume it's a true/false question)

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