MATH SOLVE

5 months ago

Q:
# What are the coordinates of the point that corresponds to −3π/4 on the unit circle?

Accepted Solution

A:

−3π/4

radians=degree*(pi/180)

degree=radians*180/pi

degree=-(3π/4)*180/π=3*180/4=-135°

-135°------------Quadrant II (90°,180°)

we will define the X and Y Coordinate points on the Unit Circle

X2 + Y2 = r2 (Pythagorean Theorem)

r = Radius of the Circle = Hypotenuse of the Triangle

135°-90°=45°

For Θ = 45°, we have X = 1*cos45° = √2/2 and Y = 1*sin45° = √2/2

for belonging to 2 quadrant

the X and Y Coordinate points

(-√2/2,√2/2)

radians=degree*(pi/180)

degree=radians*180/pi

degree=-(3π/4)*180/π=3*180/4=-135°

-135°------------Quadrant II (90°,180°)

we will define the X and Y Coordinate points on the Unit Circle

X2 + Y2 = r2 (Pythagorean Theorem)

r = Radius of the Circle = Hypotenuse of the Triangle

135°-90°=45°

For Θ = 45°, we have X = 1*cos45° = √2/2 and Y = 1*sin45° = √2/2

for belonging to 2 quadrant

the X and Y Coordinate points

(-√2/2,√2/2)