Jaxon is creating a mosaic design on a rectangular

Mathematics

2 answers:

Lina20 [59]2 years ago

6 0

Here are the answers

olasank [31]2 years ago

3 0

Answer:

hard question

Step-by-step explanation:

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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

If 2 ounces is 240 calories then what is 2/3 ounces

Alex17521 [72]

If 2 ounces = 240 calories

1 ounce = 120 calories
So 2/3 ounces = (2/3) * 120
= 80 calories

4 0

2 years ago

Tatiana is practicing shooting. The coordinates (in m) of the barrel of her gun and the target are (5, 3, 1) and (38, 41, 3). Wh

saul85 [17]

Answer:

$d=\sqrt{2,537}\ m$ or $d=50.37\ m$