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Finger [1]
3 years ago
12

Write the following expression as a function of a positive acute angle. Use "+" to indicate a positive value and "-" to indicate

a negative value.

Mathematics
2 answers:
Sauron [17]3 years ago
6 0

Answer:

As property of trigonometric cosine function, we have:

cos(x) = cos(-x)

=> cos(-240) = cos(240)

Otherwise, we also have:

cos(x + 180) = -cos(x)

=> cos(240) = - cos(60)

=> cos(-240) = cos(+240) = -cos(+60)

Hope this helps!

:)

Goshia [24]3 years ago
3 0

Since the trigonometric functions are periodic, we know that

\cos(x)=\cos(x+360)

In this case, you have

\cos(-240)=\cos(-240+360)=\cos(120)

Finally, we have

\cos(120)=\cos(90+30)

and you can use the formula

\cos(90+x)=-\sin(x)

To conclude

\cos(120)=\cos(90+30)=-\sin(30)

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Answer:

  8.  1483.33

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Step-by-step explanation:

8. Morgan's income after taxes is 55000/12 = 4583.33 per month. The amount  available after expenses is 4583.33 -3100.00 = 1483.33 per month.

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7 0
3 years ago
What is 12 times 2 times 5 plus 2​
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Answer:

122

Step-by-step explanation:

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Follow PEMDAS and do multiplication first.  From left to right...

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   120 + 2                        {  (24)(5) = 120   }

  122                               {   120 + 2 = 122   }

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