All Trigonometry Resources
Example Questions
Example Question #1 :有限公司terminal Angles
Find the least positive coterminal angle to.
To find a coterminal angle, you must add or subtract. The question is asking for the least positive coterminal angle, so you must adduntil you reach a positive angle.
The angle is still negative, so you must continue.
The angle is still negative, so you must continue.
The angle is still negative, so you must continue.
Example Question #1 :有限公司terminal Angles
What is the coterminal angle of 82o?
-98o
-8o
-45o
-90o
-278o
-278o
The coterminal angle is the negative angle that travels fromfrom the original angle.
Example Question #3 :有限公司terminal Angles
Find a positive and a negative angle coterminal with aangle.
有限公司terminal angles are angles in standard position that have a common terminal side. In order to find a positive and a negative angle coterminal with, we can add and subtract. So we can write:
So aangle and aangle are coterminal with aangle.
Example Question #4 :有限公司terminal Angles
Find a positive and a negative angle coterminal with aangle.
有限公司terminal angles are angles in standard position that have a common terminal side. In order to find a positive and a negative angle coterminal with, we need to subtract one full rotation () and two full rotations ():
So aangle and aangle are coterminal with aangle.
Example Question #5 :有限公司terminal Angles
Identify coterminal angles among the following pairs:
有限公司terminal angles are angles in standard position that have a common terminal side.
So of the given pairs onlyis the correct pair.
In order to examine the given pairs we can addto an angle or subtractfrom an angle:
Example Question #1 :有限公司terminal Angles
Which of the following angles is coterminal to?
有限公司terminal angles share a common side when both are in standard position.
Thus, to find a coterminal angle for, addto it to get a coterminal angle of.
Example Question #2 :有限公司terminal Angles
Determine the next nearest positive and nearest negative coterminal angle to
In order to find a coterminal angle we must either subtract or add multiples of. To find the nearest positive coterminal angle we add:
To determine the nearest negative coterminal angle we subtract:
Example Question #1 :有限公司terminal Angles
确定最近的负面共终端的角度
In order to determine a coterminal angle we add or subtract a multiple of. In this case since the angle is positive and we want the nearest negative coterminal angle, we subtractuntil we obtain the first negative angle as follows:
Example Question #1 :有限公司terminal Angles
Find the least positive coterminal angle to
To determine a coterminal angle we must addto the original angle. In order to find the smallest positive coterminal angle, we add until we obtain the first positive angle. We first need to find the least common denominator as follows:
Example Question #10 :有限公司terminal Angles
Find a positive and negative angle that are coterminal with aangle.
有限公司terminal angles are angles in standard position that have a common terminal side. In order to find a positive and a negative angle coterminal with, we can add and subtract. So we can write:
So aangle and aangle are coterminal with aangle.