Question

Find the measures of two angles, one positive and one negative, that are coterminal with pi divided by eight. seventeen pi divided by eight; negative fifteen pi divided by eight pi divided by eight + 360°; pi divided by eight - 360° nine pi divided by eight; negative seven pi divided by eight seventeen pi divided by eight; negative pi divided by eight

Answer 1

Co-terminal Angles: Two angles are said to be Co-terminal if they have Same initial side and same terminal side.If a ray forms an angle A with Initial side , the co terminal angles will be (A + 360)° or (A - 360)°. 0r (A+ 2 π) Radians and (A - 2π) Radians.

The given Angle is :
`(\pi)/(8)`

So, it's two co -terminal angles are ,
`[((\pi)/(8) +2\pi , (\pi)/(8) - 2\pi,), ((17\pi )/(8) , (-15\pi )/(8)) ]`

→ seventeen pi divided by eight; negative fifteen pi divided by eight is correct answer.

Answer 2

the given angle is PI/8

to find the coterminal angles add 2pi for the positive and subtract 2pi for the negative:

positive = PI/8 +2PI = 17pi/8

negative = PI/8 - 2PI = -15PI/8

seventeen pi divided by eight; negative fifteen pi divided by eight