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

Respuesta :

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

Solution:

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 : [tex]\frac{\pi}{8}[/tex]

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

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