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.

1 answer:

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.

You might be interested in

The graph below shows the height of a tunnel f(x), in feet, depending on the distance from one side of the tunnel x, in feet:

denis23 [38]

Part A) x-intercepts simply show that when the value of the function is zero. Vertex coordinates show that when the function obtains its maximum value. When x=50, function obtains its maximum value and it's 75. The function is increasing in the interval (0, 50) and decreasing in the interval (50, 100). In regard to the height and distance of the tunnel, these numbers show that decreasing and increasing intervals are symmetric. Each number from the intervals has its own pair in the corresponding interval and they are located in the same distance from the midpoint (50,75)

Part B) In order to calculate the average rate of change, we can first write the function. Using the information about the x-intercept and the vertex coordinates, we find that our function is $f(x)=-0.03x^{2}+3x$ .
Plugging 15 and 35 in x, we can find the values of the function, i.e.
$f(15)=38.25$ and $f(35)=68.25$ .
Then, the average change is $\frac{68.25-38.25}{35-15}=1.5$

4 0

2 years ago

Read 2 more answers

A class is made up of 10 boys and 4 girls. Half of the girls wear glasses. A student is selected at random from the class what i

ZanzabumX [31]

Answer:

2/14 or 1/7

Step-by-step explanation:

Half the girls where glasses so 2 girls.

there are only 2 girls that wear glasses out of all the 14

so the answer is 2/14

8 0