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krek1111 [17]
2 years ago
6

COMPLETE Find the value of the function for O. sin(45°) = ?

Mathematics
1 answer:
geniusboy [140]2 years ago
6 0

Answer:  \sqrt{2}/2 which is Choice B

This is the same as writing \frac{\sqrt{2}}{2}

The second "2" is not under or inside the square root.

==========================================================

Explanation:

Refer to the unit circle below. I've highlighted the angle 45 degrees and its corresponding sine value. It's the y coordinate of the point on the unit circle, for this particular angle.

Therefore, \sin(45^{\circ}) = \frac{\sqrt{2}}{2}

--------------

You could alternatively draw out a 45-45-90 triangle. Let x be the leg length and the hypotenuse is 1 unit long. Solve x^2+x^2 = 1 for x and you should get x = \frac{\sqrt{2}}{2} as the length of each leg.

Then take the ratio of the opposite over hypotenuse to find the same answer mentioned above.

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1/2

Step-by-step explanation:

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Step-by-step explanation:

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To complete the square, how do you find the value that must be added to the expression to make a perfect square trinomial? What
Molodets [167]
Take half of the coefficient of x (which is 2/5) and square it:

[ (1/2)(2/5) ]^2 = (1/5)^2 = 1/25, or 0.04

Thus, to rewrite x^2 + (2/5)x to include a perfect square trinomial,

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3 years ago
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3 years ago
Without using logarithm tables, find the value of x given that: 2log2/3 = 1/2logx - log 18 + log 16
sweet-ann [11.9K]

Answer:

x=\frac{1}{4}

Step-by-step explanation:

<u>Given:</u>

2log(\frac{2}{3})=\frac{1}{2}log(x)-log(18)+log(16)

<u>Use the Power Rule Law:</u>

log(\frac{2}{3}^2)=log(x^{1/2})+log(16)-log(18)

<u>Use the Quotient Rule Law:</u>

log(\frac{4}{9})=log(\sqrt{x})+log(\frac{16}{18})

<u>Use the Product Rule Law:</u>

log(\frac{4}{9})=log(\frac{16\sqrt{x}}{18})

<u>Simplify:</u>

log(\frac{4}{9})=log(\frac{8\sqrt{x}}{9})

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4=8\sqrt{x}

\frac{4}{8}=\sqrt{x}

\frac{1}{2}=\sqrt{x}

\frac{1}{4}=x

5 0
2 years ago
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