3 years ago

Which relation is not a function?

Mathematics

1 answer:

sattari [20]3 years ago

8 0

D because the same root can’t make two different answers

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Cos3x=4cos^3x-3cosx prove

IgorC [24]

$\bf cos(\alpha + \beta)= cos(\alpha)cos(\beta)- sin(\alpha)sin(\beta)
\\\\\\
\textit{also recall that }cos(2\theta)=
\begin{cases}
cos^2(\theta)-sin^2(\theta)\\
1-2sin^2(\theta)\\
\boxed{2cos^2(\theta)-1}
\end{cases}
\\\\\\
and\qquad sin^2(\theta)+cos^2(\theta)=1\implies sin^2(\theta)=1-cos^2(\theta)\\\\
-------------------------------$

$\bf cos(3x)=4cos^3(x)-3cos(x)\\\\
-------------------------------\\\\
cos(3x)\implies cos(2x+x)\implies cos(2x)cos(x)-sin(2x)sin(x)
\\\\\\\
[2cos^2(x)-1]cos(x)-[2sin(x)cos(x)]sin(x)
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2cos^3(x)-cos(x)~~~~-~~~~2sin^2(x)cos(x)
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2cos^3(x)-cos(x)~~~~-~~~~2[1-cos^2(x)]cos(x)
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2cos^3(x)-cos(x)~~~~-~~~~[2cos(x)-2cos^3(x)]
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2cos^3(x)-cos(x)~~~~-~~~~2cos(x)+2cos^3(x)
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4cos^3(x)-3cos(x)$

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3 years ago

Yan is climbing down a ladder. Each time he descends 4 rungs on the ladder, he stops to see how much farther he

almond37 [142]

Answer:

A. 4+4+4+4 ...............

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3 years ago

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The number of laughs (denoted by L) can be defined as a function of the number of jokes (denoted by J), the amount of knowledge

MrMuchimi

Answer: