SOLUTION: A point P having coordinates (-0.6561,-0.7547), lies on the terminal arm of an angle theta in standard position on a unit circle. Sketch this situation and determine the value of t

Algebra.Com
Question 141714: A point P having coordinates (-0.6561,-0.7547), lies on the terminal arm of an angle theta in standard position on a unit circle. Sketch this situation and determine the value of theta in degrees.
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
A point P having coordinates (-0.6561,-0.7547), lies on the terminal arm of an angle theta in standard position on a unit circle. Sketch this situation and determine the value of theta in degrees.
---------------
The point is in the 3rd quadrant.
The reference angle is tan^-1[-0.7547/-0.6561] = 48.997 degrees
-------------
Therefore theta = 180 + 48.997 = 228.997 degrees
================
Cheers,
Stan H.

RELATED QUESTIONS

"Point P is a point on the terminal arm of an angle 0 in standard position. Suppose P has (answered by lwsshak3)
The point P(-4,-7) lies on the terminal arm of an angle in standard position. Determine... (answered by Alan3354)
The point P(-4,7) lies on the terminal arm of an angle in standard position. Determine... (answered by Alan3354)
The point P(-3,-6) lies on the terminal arm of an angle θ in standard position. a)... (answered by rothauserc)
The terminal arm of an angle {{{ (theta) }}} in standard position passes through the... (answered by Alan3354)
Point Q(-12, -9) is on the terminal arm of a circle in standard position a) Give exact (answered by Alan3354)
point A(-a,b) is in quadrant ii and lies on the terminal arm of angle in standard... (answered by KMST)
A point P lies on the unit circle and on the terminal arm with a rotation of... (answered by lwsshak3)
If (-1,3) are the coordinates of a point on the terminal arm of angle B in standard... (answered by Mathtut)