3 years ago

Someone help me in this one now please

Mathematics

1 answer:

vodka [1.7K]3 years ago

3 0

Answer:

I think 300 plz don't crit me if I got it wrong

Step-by-step explanation:

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Find y' if x = tan(y)

Travka [436]

Use the chain rule:

$x=\tan y$
$\dfrac{\mathrm d}{\mathrm dx}x=\dfrac{\mathrm d}{\mathrm dx}\tan y$
$1=\sec^2y\dfrac{\mathrm dy}{\mathrm dx}$
$1=\sec^2y\,y'$
$y'=\dfrac1{\sec^2y}=\cos^2y$

Furthermore, if you restrict the domain of $y$ , we could write

$x=\tan y\iff \tan^{-1}x=y$

and so we could also have

$y'=\cos^2(\tan^{-1}x)=\left(\dfrac1{\sqrt{x^2+1}}\right)^2=\dfrac1{x^2+1}$

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4 years ago

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soldier1979 [14.2K]

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Step-by-step explanation:

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3 years ago

A spinner has six equal parts labeled from 1 to 6. The spinner is spun twice.

Ivan

Answer is 1/36...

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