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yanalaym [24]
3 years ago
7

Solve 2sin x + sqrt3 = 0

Mathematics
1 answer:
Natasha2012 [34]3 years ago
5 0
Subtract sqrt 3 to isolate 2sin x
Divide by 2 to isolate sin x
Take the arcsin of each side to isolate x
Thinking of a 30-60-90 triangle, we know that x sqrt 3 is opposite 60° and 2x acts as the hypotenuse, thus it will be some variation of 60°.
 In order to produce a negative result, x must be -60° (-π/3)
It is worth noting that this is a restricted value. Any addition/subtraction of 2π from this answer will produce the same result, thus your full answer is the above plus or minus 2kπ where k ∈ Z (k is an interger)

2\sin x+\sqrt{3}=0\\\\2\sin x=-\sqrt{3}\\\\\sin x=-\frac{\sqrt{3}}2\\\\\sin^{-1}(\frac{\sqrt{3}}2)=x\\\\\boxed{x=-\frac{\pi}3\pm2k\pi,\ k\in \mathbb{Z}}\ (-\frac{\pi}3=-60\°)




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Solve for n:<br> (n+4)/10 = (n-8)/2
nalin [4]

Answer:

n=11

Step-by-step explanation:

(n+4)/10 = (n-8)/2

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Add 80 to each side

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Divide each side by 8

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4 0
2 years ago
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Given the formula A =pieab solve for a.
Romashka [77]

Answer:

a = A/πb

Step-by-step explanation:

To solve this subject of the formulae given that A = πab.

<u>solution</u>

A = πab

the next step is to look for a unique way to get rid of the variables disturbing "a" from standing alone. this variables are π and b, we need to detach dem from a

A = πab

divide both sides by πb

A/πb = πab/πb

A/πb = a

a = A/πb

therefore  the value of a in the fomular A = πab is evaluated to be  a = A/πb

5 0
3 years ago
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Lena [83]

Answer:-7/4

Step-by-step explanation:

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Collect like terms

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Divide both sides by 8

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3 years ago
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