Mathematics, 23.07.2019 09:00 sammielucero

Select all angles that are coterminal with an angle of rotation of 300 degrees a. -420 degrees b. 2100 degrees c. -900 degrees d. -π/3 e. 23π/3 f. -7π/3

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Answer from: ike9264

A. B. D. E. F. are all coterminal angles to 300°.

Step-by-step explanation:

A 360 degree angle is a complete turn of a circle, if you keep going you can reset the counter or keep it and it will still be valid, therefore a 361° angle is the same as a 1° angle. With that in mind you can keep substracting 360 to answer B. to check if it is valid:

$2100-360=1740\quad 1740-360=1380\quad 1380-360=1020\quad 1020-360=660\quad 660-360=300$

so answer B. gives the same angle (coterminal) to 300°.

In case of a negative angle you sweep the angle clockwise, instead of the normal positive counterclockwise. In that order of ideas, a -1° angle is the same a 359°. So you can add 360° to see if it reaches the desired angle.

In case of angle A.

$-420+360=-60\quad -60+360=300$

It is valid. Let's look at angle C.

$-900+360=-540\quad -540+360=-180\quad -180+360=180$

It is not coterminal with 300°.

To the angles in radians, remember that a pi/3 angle is just a 60° angle. Thus, answer D. is valid because a -60° is coterminal with a 300° angle.

Answer E. is examined taking into account that a 360° angle is just a 2 pi angle, or a 6 pi/3 angle. So

$\frac{23 \pi}{3} -\frac{6 \pi}{3} =\frac{17 \pi}{3} \quad \frac{17 \pi}{3} -\frac{6 \pi}{3} =\frac{11 \pi}{3}\quad \frac{11 \pi}{3} -\frac{6 \pi}{3} =\frac{5 \pi}{3}$

Which is exactly a 300° angle (check the image attached, look for the blue lines).

Answer F is another valid answer since

$-\frac{7 \pi}{3} +\frac{6 \pi}{3} =-\frac{\pi}{3}$

Select all angles that are coterminal with an angle of rotation of 300 degrees a. -420 degrees b. 2

Answer from: Quest

step-by-step explanation:

i think something is missing in your question because y-1=(x-12) would not pass through the point (-4,-3). because if you replace x by -4 your are supposed to find y=-3 which is not the case her. if you replace x by -4 you find =-15.

i assume the right equation is y-1=1/4*(x-12) because this one is passing through both your points (if you are interested to know how i found that out i can tell you).

in this equation if i replace x by -4 i find y=-3 and if i replace x by 12, i find y=1 so the line representing this equation is passing through those 2 points.

then the standard form of the equation is finding an expression of y in function of x

y-1=1/4*(x-12)

y=x/4-3+1

y=x/4-2

hope that .

do you confirm there was a mistake in the question?

Answer from: Quest

7,24

step-by-step explanation:

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