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crimeas [40]
2 years ago
14

2 cos x = (sq root 3)

Mathematics
2 answers:
Natali [406]2 years ago
4 0

Answer:

cos x = 30°

Step-by-step explanation:

2 cos x = √3

cos x = √3/2

<em><u>cos x = 30°</u></em>

Temka [501]2 years ago
3 0

Answer:

cos \:  \: x = 30 \: degrees

Step-by-step explanation:

2 \: cos \:  \: x =  \sqrt{3} \\ cos \: x =  \sqrt{ \frac{3}{2} }  \\ cos \: x = 30 \:  \: degrees

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WHAT IS THE REMAINDER WHEN <img src="https://tex.z-dn.net/?f=32%5E%7B37%5E%7B32%7D%20%7D" id="TexFormula1" title="32^{37^{32} }"
Feliz [49]

Recall Euler's theorem: if \gcd(a,n) = 1, then

a^{\phi(n)} \equiv 1 \pmod n

where \phi is Euler's totient function.

We have \gcd(9,32) = 1 - in fact, \gcd(9,32^k)=1 for any k\in\Bbb N since 9=3^2 and 32=2^5 share no common divisors - as well as \phi(9) = 6.

Now,

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