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Finger [1]
2 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]2 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]2 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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