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nikklg [1K]
3 years ago
14

Trig. help. How does

29%20%3D%20sinx" id="TexFormula1" title="2sin (\frac{1}{2} x)cos( \frac{1}{2} x) = sinx" alt="2sin (\frac{1}{2} x)cos( \frac{1}{2} x) = sinx" align="absmiddle" class="latex-formula"> ?
Mathematics
1 answer:
kotegsom [21]3 years ago
5 0
Recall that 2sin(x) cos(x) is actually equal to sin(2x).

We can prove this by expanding sin(2x) to sin(x + x).
sin(x + x) = sin(x) cos(x) + cos(x) sin(x) = 2sinxcosx

Thus, 2sin(x/2)cos(x/2) can be rewritten in the form:
sin(2x/2), and this simplifies down to sinx.
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GuDViN [60]

Answer:

The first one is No. The second one I do not know unfortunately.

Step-by-step explanation:

I am in the middle of this lesson in my math class as well and I know that in order to make a triangle, you need the two smaller sides to add up to become larger than the biggest side. In the case of the first question, the two smaller sides, 6 and 3 equal 9, which is not bigger than the biggest side which is 10. I hope you can find the answer to the second one, but for now, the first one is No.

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2 years ago
Kami bought 3 1/2 pounds of nectarines for $1.75 and 1 3/5 pounds of oranges for $0.60. Which fruit costs less per pound?
erastovalidia [21]
Nectarines would be the correct answer
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3 years ago
, write an expression should be used to determine the total number of points Amanda scored in Tuesday's game?
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3 years ago
A circle has its center at the center of a square with 12-inch sides. Using 3.14 for pi, find the area of the square not covered
Dmitrij [34]
So first, find the area of the square. 12x12= 144inches^2
Then find the area of the circle. To do this we use pi x r^2. The radius of the circle is 6 inches. Pi x 6^2 = 113.04inches^2.
144 - 113.04 = 30.6, so your answer is 30.6 inches^2

The circles circumference is worked out by using pi x d. The diameter is 12 inches, so 3.14x12 = 37.68 inches.
The squares perimeter is 12 x 4 = 48 inches.
If you round up the circumference of the circle to the nearest integer, you get 38 inches. The ratio would therefore be, 38:48, which can be rounded down to 19:24 :)
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3 years ago
Find measure of angle b
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I cant see the problem

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