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tino4ka555 [31]
3 years ago
7

How does the unit circle allow the trigonometric functions to be defined for all real numbers instead of just for acute angles?

Mathematics
1 answer:
Molodets [167]3 years ago
8 0

Every point in the unit circle is identified either by its coordinates (x,y) or by the angle it forms with the x-axis, \alpha.

The trigonometric functions associate with every angle \alpha and the correspondant (x,y) coordinates the two values

\cos(\alpha)=x,\quad\sin(\alpha)=y

This procedure can be done for every angle \alpha, so you don't have to work with acute angles only.

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Remember that the slope of a line never changes, so you can choose whatever 2 points you want and you will always get the same slope. Calculate the rise and run (You can draw it on the graph if it helps). The slope is 2/4, which , of course, you can simplify to ½.
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X+2=2(2x-14) solve for x.
LekaFEV [45]

X =10.


First distribute the 2(2x-14) and get 4x-28.

x+2-4x-28. Subtract x from each side to get 2=3x-28.

Add 28 to both sides to equal 30=3x. Divide each side by 3 to get your final Answer, x=10.

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3 years ago
Rewrite the expression x^3+10x^2+13x+39/x^2+2x+1 in the form of q(x)+r(x)/b(x)
natima [27]

\dfrac{x^3+10x^2+13x+39}{x^2+2x+1}

x^3=x\cdot x^2, and x(x^2+2x+1)=x^3+2x^2+x. Subtracting this from the numerator gives a remainder of

(x^3+10x^2+13x+39)-(x^3+2x^2+x)=8x^2+12x+39

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4 0
3 years ago
Is 7 - -4 positive or negative?<br> positive<br> negative
djverab [1.8K]

Answer:

Positive.

Step-by-step explanation:

When you see two negative signs directly next to each other (as shown in the given expression), it will become a positive sign:

7 - (-4) = 7 + 4 = 11

Positive is your answer.

* To be fair, even if there is only one negative sign, the answer will still be positive, however, I am assuming you are suggesting only the sign, and not the answer.

~

7 0
3 years ago
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