Question

Help much needed pls and thank you.

Answer 1

Explanation:

A full revolution on a circle/radians is 2
`\pi`, so keep adding or subtracting 2
`\pi` til you get a base angle, that's when the sign changes. Then decide which quadrant your in.

For this one the equivalent of 2
`\pi` is
`6\pi /3`

-29
`\pi`/3 +
`6\pi /3`

= -23
`\pi`/3 +
`6\pi /3`

= -17
`\pi`/3 +
`6\pi /3`

= -11
`\pi`/3 +
`6\pi /3`

= -5
`\pi`/3 +
`6\pi /3`

= 1
`\pi`/3 sign changed it's equavalent to
`\pi /3` Which is in the first quadrant. See unit circle.

-5
`\pi`/6 +
`12\pi /6`

=
`7\pi /6` third quadrant, i count quadrants by know
`\pi`/6 is 30°, so every 30° line is 1/6 of the unit circle. when i count 7 of them that's in the 3rd quadrant. Don't forget to count the axis's

2
`\pi`/3 is in the 2nd quadrant. Count my pi/3's which is 60°

45
`\pi`/7 - 14
`\pi`/7

= 31
`\pi`/7 - 14
`\pi`/7

=17
`\pi`/7 - 14
`\pi`/7

=3
`\pi`/7 - 14
`\pi`/7

= -11
`\pi`/7 1/7th's is not your typical unit circle angle

This one i think of logically. this is -1 4pi/7

1 pi going backwards is 180

keep going backards 4/7 is bigger than 1/2 so it's in the 1st quadrant