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suter [353]
3 years ago
11

Rewrite

x" align="absmiddle" class="latex-formula">
so that it involves only the first power of cosine
​

Mathematics
1 answer:
erastovalidia [21]3 years ago
6 0

All you need is the double angle identity:

\cos^2x=\dfrac{1+\cos2x}2

So we have

\cos^4x=(\cos^2x)^2=\left(\dfrac{1+\cos2x}2\right)^2=\dfrac{1+2\cos2x+\cos^22x}4

Apply the identity again to the squared term:

\cos^4x=\dfrac{1+2\cos2x+\frac{1+\cos4x}2}4=\dfrac{3+4\cos2x+\cos4x}8

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2 years ago
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Determine whether each of the following are functions
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xxc

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7 0
3 years ago
A carrot has 55 grams of sugar per serving. A banana has 15 grams of sugar per serving. Which statement is true?
GREYUIT [131]
For an equal number of servings, the bananas will have three times as much sugar.

To put it in perspective:
When we have one serving of each fruit, the carrot will give you 5 grams of sugar whereas banana will give you 15 grams. 

Hope this helps!
7 0
3 years ago
One container is filled with a mixture that is 30%acid a second container is filled with a mixture that is 50%acid the second co
julsineya [31]

Answer:

The amount of acid in third container is =42%

Step-by-step explanation:

Given , one container is filled with a mixture that is 30% acid a second container filled with a mixture that is 50% acid and the second container 50% larger than the first .

Let, the volume of first container is = x

Then , the volume of second container = (x+ x of 50%)

                                                                 = x + 0.5 x

                                                                 = 1.5 x

Therefore the amount of acid in first container =x \times \frac{30}{100} = 0.3 x

The amount of acid in second container =1.5x \times \frac{50}{100}  = 0.75x

Total amount of acid= 0.3x + 0.75x = 1.05 x

Total amount  of solution = x+1.5x = 2.5x

The amount of acid in third container is = \frac{1.05x}{2.5x} \times 100% %

                                                                     = 42%

4 0
3 years ago
Convert y+7=4(x-3) standard form
True [87]

Answer:

-4x+y = -5

Step-by-step explanation:

Y+7=4(x-3)

Y+7=4x-12

+7. +7

Y=4x-5

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7 0
3 years ago
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