7.632 in expanded form

Mathematics

2 answers:

11111nata11111 [884]3 years ago

3 0

7000+600+30+2 that is what it would be

viva [34]3 years ago

3 0

7 one 6 tenths 3 hundredths 2 thousandths

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I don't need you to work it out, just theorem(s) i need to reach the answer :)

VikaD [51]

Not sure why such an old question is showing up on my feed...

Anyway, let $x=\tan^{-1}\dfrac43$ and $y=\sin^{-1}\dfrac35$ . Then we want to find the exact value of $\cos(x-y)$ .

Use the angle difference identity:

$\cos(x-y)=\cos x\cos y+\sin x\sin y$

and right away we find $\sin y=\dfrac35$ . By the Pythagorean theorem, we also find $\cos y=\dfrac45$ . (Actually, this could potentially be negative, but let's assume all angles are in the first quadrant for convenience.)

Meanwhile, if $\tan x=\dfrac43$ , then (by Pythagorean theorem) $\sec x=\dfrac53$ , so $\cos x=\dfrac35$ . And from this, $\sin x=\dfrac45$ .

So,

$\cos\left(\tan^{-1}\dfrac43-\sin^{-1}\dfrac35\right)=\dfrac35\cdot\dfrac45+\dfrac45\cdot\dfrac35=\dfrac{24}{25}$

7 0

3 years ago

Please help I have 15 minutes!!!!!

OlgaM077 [116]

It is a function because each x value only has one y value

6 0

3 years ago

Read 2 more answers

Draw a line representing the rise and a line representing the sun of the line. State the slope of the line in simplest form.

nevsk [136]

You have to post a pic I don’t understand

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