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just olya [345]
3 years ago
7

If x= sin theta then x/√1-x^2 is​

Mathematics
1 answer:
SCORPION-xisa [38]3 years ago
6 0

Well,

Given that x=\sin(\theta),

We can rewrite the equation like,

\dfrac{\sin(\theta)}{\sqrt{1-\sin(\theta)^2}}

Now use, \cos(\theta)^2+\sin(\theta)^2=1 which implies that 1-\sin(\theta)^2=\cos(\theta)^2

That means that,

\dfrac{\sin(\theta)}{\sqrt{1-\sin(\theta)^2}}\Longleftrightarrow\dfrac{\sin(\theta)}{\sqrt{\cos(\theta)^2}}

By def \sqrt{x^2}=x therefore \sqrt{\cos(\theta)^2}=\cos(\theta)

So the fraction now looks like,

\dfrac{\sin(\theta)}{\cos(\theta)}

Which is equal to the identity,

\boxed{\tan(\theta)}=\dfrac{\sin(\theta)}{\cos(\theta)}

Hope this helps.

r3t40

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Answer:

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In choice b:

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In choice c:

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7 0
3 years ago
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Please help me with the problem
mixas84 [53]
Let's see what we're working on here 

\frac{1}{2}  - 2(m) =?
            ? = 0
Simplify this → \frac{1}{2}

\frac{1}2y} - 2(m) = ?

\frac{2(m)(2)}{2}

\frac{1 - 4(m)}{2} = ?

\frac{1 - 4(m)}{2} = 2

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 Subtract ( - )the number 1 from each of your sides on this part

4(m) = 1 
Multiply( ×) the number -1 to your sides for this part of the equation 

Therefore, the value of m is \frac{1}{4}
m =  \frac{1}{4}


3 0
4 years ago
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Suppose you have $100 in a savings account earning 2 percent interest a year. After five years, would you have more than $102, e
pentagon [3]
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Answer:

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Step-by-step explanation:

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Nataly_w [17]

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