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3 years ago

The probability of Sondra getting pasta is

Mathematics

1 answer:

stepan [7]3 years ago

7 0

Answer:

69%

Step-by-step explanation:

I answered randomly because there is literally no other information to the question that I can work with to figure it out. If your Sondra, I hope you get your pasta ;)

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Tan 3A in terms of tan

Zanzabum

Here's the sum rule for the tangent function:

$\tan(a+b)=\dfrac{\tan(a)+\tan(b)}{1-\tan(a)\tan(b)}$

In the special case a=b, this becomes the double angle formula:

$\tan(a+a)=\tan(2a)=\dfrac{\tan(a)+\tan(a)}{1-\tan(a)\tan(a)}=\dfrac{2\tan(a)}{1-\tan^2(a)}$

In your case, you case use the sum rule once:

$\tan(3a)=\tan(2a+a)=\dfrac{\tan(2a)+\tan(a)}{1-\tan(2a)\tan(a)}$

And use it again, in the special case of the double angle:

$\dfrac{\dfrac{2\tan(a)}{1-\tan^2(a)}+\tan(a)}{1-\dfrac{2\tan(a)}{1-\tan^2(a)}\tan(a)}$

We can obvisouly simplify this expression a lot: let's deal with the numerator and denominator separately: the numerator is

$\dfrac{2\tan(a)}{1-\tan^2(a)}+\tan(a) = \dfrac{2\tan(a)+\tan(a)-\tan^3(a)}{1-\tan^2(a)}$

and the denominator is

$1-\dfrac{2\tan(a)}{1-\tan^2(a)}\tan(a) = \dfrac{1-\tan^2(a)-2\tan^2(a)}{1-\tan^2(a)} = \dfrac{1-3\tan^2(a)}{1-\tan^2(a)}$

So, the fraction is

$\dfrac{2\tan(a)+\tan(a)-\tan^3(a)}{1-\tan^2(a)}\cdot \dfrac{1-\tan^2(a)}{1-3\tan^2(a)} = \dfrac{2\tan(a)+\tan(a)-\tan^3(a)}{1-3\tan^2(a)}$

8 0

4 years ago

Help me please thank you

balu736 [363]

No because all sides are uneven.

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3 years ago

Help ASAP it’s either <br> 68degrees <br> 110 degrees <br> 136 degrees <br> or 112 degrees

kondor19780726 [428]

Answer:112

Step-by-step explanation: Line SW is 180 degrees since it is a straight line. Subtract angle TBU 18 and angle UBW 50 from line SW 180 to get angle SBU which is 112.

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3 years ago

What are partial quotients of 378÷3

geniusboy [140]

Well if you know how to subtract it will be easy for you.But it's 126.

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4 years ago

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What is the equation of the line?

dangina [55]

To know the slope of the line mark to points in the line and get the slope
I'll mark (0,0) , ( 6, 4)
the slope = (4-0) / (6-0) = 4/6 = 2/3
so the equation of this line is y=2/3x
the answer is C.)

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3 years ago

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