# pre-calc

Find an angle between 0 and 2ð that is coterminal with the given angle.
-8pi/3

A sector of a circle has a central angle of 60°. Find the area of the sector if the radius of the circle is 3 mi.

1. 👍 0
2. 👎 0
3. 👁 437
1. -8pi/3 is coterminal with -8pi/3 ± 6pi/3

So, these are: -8pi/3 -2pi/3, 4pi/3 ... and we have a winner!

60° is 1/6 of 360°. So, the are is 1/6 of a whole circle, or 1/6 * pi * 3^2 = 3/2 pi

1. 👍 0
2. 👎 0
to get -2π/3
4π/3

check by taking sin, cos and tan of both -8π/3 and 4π/3.
you should get the same result for each trig function.

(in degrees we started with -480
added 720° to get 240° which lies between 0 and 360)

1. 👍 0
2. 👎 0

## Similar Questions

1. ### Geometry(so lost)

Given ∆ABC≅∆PQR,m (angle)B=3v+4,and m(angle)Q=8v-6,find m(angle)B and m(angle)Q (quick question: what would be the symbol for "angle" on here?) How do I solve this???? STEP-BY-STEP would be amazing! Thank you.

2. ### math

Find the coterminal angles for 8pi/3. I found one: 8pi/3 - 2pi= 2pi/3 My textbook says that I should add subtract 4pi to find the other one and I'm very confused as to how you know what to add/ subtract.

3. ### math

what is the largest negative coterminal angle of -417?

4. ### Math,geometry

Point $P$ is on side $\overline{AC}$ of triangle $ABC$ such that $\angle APB =\angle ABP$, and $\angle ABC - \angle ACB = 39^\circ$. Find $\angle PBC$ in degrees.

1. ### Geometry

Given: angle ABD is a right angle , angle CBE is a right angle. Prove: angle ABC is congruent angle DBE

2. ### Trig problem

What is a coterminal angle with 170 degrees?

3. ### Math

Equation practice with angle addition Given: m∠AOCm, angle, A, O, C is a straight angle. \qquad m \angle BOC = 6x + 29^\circm∠BOC=6x+29 ∘ m, angle, B, O, C, equals, 6, x, plus, 29, degrees \qquad m \angle AOB = 3x +

4. ### maths

find the measure of a negative angle coterminal with 3pi/10 radians

1. ### Geometry

Complete the two column proof Given:angle 2 is about equal to angle 4, angle 2 = 110 Prove: angle 3 = 70 statement - proof angle 2 is about equal to angle 4, angle 2 =110 - given angle 2 = angle 4 - definition of congruent angles

2. ### Math

Find a negative and a positive coterminal angle for Ө = 2pi/3. -4pi/3 and 8pi/3

3. ### Math. Trig

Find a positive angle less than 2piπ that is coterminal with the given angle. StartFraction 11 pi Over 3 EndFraction 11π/3

4. ### Geometry

6. Which of the following facts, if true, would allow you to prove that line l and m are parallel? A.angle m + angle 4= 180 B. angle 1 = angle 8 ** C. angle 6+angle 3 = 180 D. angle 7= angle 6