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slamgirl [31]
3 years ago
12

Giải phương trình: Sin^4 x - cos^4 x =1/2

Mathematics
2 answers:
tamaranim1 [39]3 years ago
5 0

Hello,

cos^4(x)=(cos^2(x))^2=(1-sin^2(x))^2=1+sin^4(x)-2*sin^2(x)\\\\sin^4(x)-(1+sin^4(x)-2sin^2(x))=\dfrac{1}{2} \\\\1-2sin^2(x)=\dfrac{1}{2} \\\\\\sin^2(x)=\dfrac{1}{4} \\\\sin(x)=\dfrac{1}{2} \ or\ sin(x)=-\dfrac{1}{2} \\\\\\modulo\ 2\pi: \\\\x=\dfrac{\pi}{6}\ or\ x=\dfrac{5*\pi}{6}\ or\ x=-\dfrac{\pi}{6}\ or\ x=-\dfrac{5*\pi}{6}

Sliva [168]3 years ago
4 0

Step-by-step explanation:

...........MaRk As BrAiNeSt

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jane loves animals. She has an equal number of beetles, birds and spiders as pets. Apart from human legs, there is a total of 27
kherson [118]

Answer:

16.875 spiders

Step-by-step explanation:

Given

Let

B = Beetles

C = Birds

S = Spiders

So, we have:

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6B + 2C + 8S = 270 --- the legs

Required

The number of spider

Since she has an equal amount of B, C and S;

The expression can be written as:

6B + 2C + 8S = 270

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16S = 270

Solve for S

S = \frac{270}{16}

S = 16.875

<em>The result of the solution does not represent real life situation because it it is not possible to have a fraction number of spider</em>

5 0
3 years ago
If y = -5x + 2 were changed to y=-7x+ 5, how would the graph of the new line compare with the first one? A. The new graph would
Anika [276]

D- The new graph would be steeper than the original graph, and the y- intercept would shift up 3 units.

The purple line is y=-5x + 2

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5 0
3 years ago
Which expression is equivalent to this expression?
saw5 [17]

Answer:

3h-4.5

Step-by-step explanation:

3/4(4h-6)

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3h-4.5

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#

4 0
2 years ago
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