could someone help me with this problem?
find 2 postive and 2 negative coterminal angles of -(pi)/4
http://www.analyzemath.com/Angle/coterminal_angle.html
Just add k*2PI (or subtract).
k = 1,2,3....
Coterminal angles are angles which, drawn in standard position, share a terminal side.
The initial side of measurements is always the x-axis (0 degree), and the terminal side is where the measurement of the angle is to be made.
So some of the coterminal angles of 60 degress are 420°, 780° -300° or -660°. A positive coterminal angle for -π/4 would be 7π/4. A negative one would be -9π/4.
You would be sure to find other ones as required.
find positive and negative coterminal angle for 55(pi)/18
Of course, I can help you with that!
To find coterminal angles, we need to add or subtract multiples of 2π (or 360 degrees) from the given angle. Coterminal angles have the same initial and terminal sides as the given angle, but they may differ by an integer number of complete revolutions.
Given angle: -(π)/4
To find positive coterminal angles, we add 2π to the given angle:
-(π)/4 + 2π = (7π)/4
Another positive coterminal angle is found by adding another 2π:
(7π)/4 + 2π = (15π)/4
Now, let's find the negative coterminal angles by subtracting 2π:
-(π)/4 - 2π = -(9π)/4
Another negative coterminal angle is found by subtracting another 2π:
-(9π)/4 - 2π = -(17π)/4
So, the two positive coterminal angles of -(π)/4 are (7π)/4 and (15π)/4, and the two negative coterminal angles are -(9π)/4 and -(17π)/4.