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jonny [76]
3 years ago
8

Find the equation of the problem

Mathematics
1 answer:
pogonyaev3 years ago
5 0
6\sin^2\theta-\sin\theta=1\ \ \ -1\\\\6\sin^2\theta-\sin\theta-1=0\\\\6\sin\theta-3\sin\theta+2\sin\theta-1=0\\\\3\sin\theta(2\sin\theta-1)+1(2\sin\theta-1)=0\\\\(2\sin\theta-1)(3\sin\theta+1)=0\iff2\sin\theta-1=0\ \vee\ 3\sin\theta+1=0\\\\2\sin\theta=1\ \ |:2\ \ \vee\ \ 3\sin\theta=-1\ \ |:3\\\\\sin\theta=\dfrac{1}{2}\ \vee\ \sin\theta=-\dfrac{1}{3}\\\\
\theta=30^o\ \vee\ \theta=150^o\ \vee\ \theta=360^o-\sin^{-1}\left(\dfrac{1}{3}\right)\ \vee\ \theta=180^o+\sin^{-1}\left(\dfrac{1}{3}\right)

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find the difference between the sum of all eight positive intergral divisors of 66 and the sum of all eight positive integral di
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The difference between the sum of all eight positive integral divisors of 66 and the sum of all eight positive integral divisors of 70 is zero.

<h3>How to find the difference between the integral divisors?</h3>

First let's find the integral divisors. We can write 66 as a product of prime numbers as:

66 = 33*2 = 2*3*11

Then the integral divisors of 66 are:

2

3

11

2*3 = 6

2*11 = 22

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66 (trivially)

The sum gives:

2 + 3 + 11 + 6 + 22 +33 + 1 + 66 = 144

For 70 we have:

70 = 7*10 = 2*5*7

Then the integral divisors are:

1

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2*5 = 10

2*7 = 14

5*7 = 35

The sum gives:

1 + 70 + 2 +5 + 7 + 10 + 14 + 35 = 144

Then the difference between these two sums is:

144 - 144 = 0

If you want to learn more about integral divisors:

brainly.com/question/4785696

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7 0
1 year ago
Write the decimal as a fraction
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Step-by-step explanation:

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Step-by-step explanation:

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Aleonysh [2.5K]
The value of x in terms of p is 15/p.

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