1) A point on the unit circle lies on the terminal side of an angle in standard position in Quadrant III .
The cosine of the angle is negative or positive
The sine of the angle is negative or positive
2) In which quadrant does the terminal side of the angle −230° lie?
Quadrant I
Quadrant II
Quadrant III
Quadrant IV
3)
thank you :)
1) A point on the unit circle lies on the terminal side of an angle in standard position in Quadrant III .
The cosine of the angle is negative
The sine of the angle is negative
[ The sine and cosine are negative in QIII ]
2) In which quadrant does the terminal side of the angle −230° lie?
To find the positive measure take 360 - 230 = 130°
And this angle is in QII
3. sine theta = sqrt [ 1 - cos^2 theta] = sqrt [ 1 - (5/6)^2] =
sqrt [ 1 - 25/36 ] = sqrt [ (36 - 25) / 36 ] = sqrt [11/36] = [ sqrt 11 ] / 6