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Anestetic [448]
3 years ago
5

Find the first four positive values of arccos(0.7). I know how to get the first, but as for the rest, I am lost.

Mathematics
1 answer:
Mandarinka [93]3 years ago
6 0
Now cos⁻¹(0.7) is about 45.6°, that's on the first quadrant.

keep in mind that the inverse cosine function has a range of [0, 180°], so any angles it will spit out, will be on either the I quadrant where cosine is positive or the II quadrant, where cosine is negative.

however, 45.6° has a twin, she's at the IV quadrant, where cosine is also positive, and that'd be 360° - 45.6°, or 314.4°.

now, those are the first two, but we have been only working on the [0, 360°] range.... but we can simply go around the circle many times over up to 720° or 72000000000° if we so wish, so let's go just one more time around the circle to find the other fellows.

360° + 45.6° is a full circle and 45.6° more, that will give us the other angle, also in the first quadrant, but after a full cycle, at 405.6°.

then to find her twin on the IV quadrant, we simply keep on going, and that'd be at 360° + 360° - 45.6°, 674.4°.

and you can keep on going around the circle, but only four are needed this time only.
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Step-by-step explanation:

The tent which has the minimum area requires less nylon to manufacture,

Since, the area of Pup tent = Area of 3 square each having side 8 ft + Area of 2 equilateral triangle having side 8 ft

= 3 \times ( 8^2 ) + 2\times \frac{64\sqrt{ 3} }{4}

=  192+ 2\times \frac{64\sqrt{ 3} }{4}

= 192+ 32\sqrt{ 3}

= 247.425625842\approx 247.43\text { square ft}

Now, the area of tunnel tent = Area of square having side 8 ft + total Area of half cylinder having radius 4 ft and height 8 ft

= 8^2 + \frac{1}{2} [ 2\pi\times 4(4+8)]

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Since, 214.72 < 247.43

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3 years ago
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Hope this helps ^

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