How do you calculate the reference angle?
How do I calculate the reference angle in radians?
- 0 to π/2 — First quadrant, so reference angle = angle ;
- π/2 to π — Second quadrant, so reference angle = π – angle ;
- π to 3π/2 — Third quadrant, so reference angle = angle – π ; and.
- 3π/2 to 2π — Fourth quadrant, so reference angle = 2π – angle .
What is the reference angle of 85?
Trigonometry Examples Since 85° is in the first quadrant, the reference angle is 85° .
What is the reference angle of 197?
Trigonometry Examples The resulting angle of 163° 163 ° is positive and coterminal with −197° – 197 ° . Since the angle 163° is in the second quadrant, subtract 163° from 180° .
What is the reference angle of 71?
Since 71° is in the first quadrant, the reference angle is 71° .
What is the reference angle of 120?
Since the angle 120° is in the second quadrant, subtract 120° from 180° .
What is the reference angle for 370?
Add 360° 360 ° to −10° – 10 ° . The resulting angle of 350° 350 ° is positive and coterminal with −370° – 370 ° .
What is the reference angle of 135 degrees?
45′
135′ is in the second quadrant, so our reference angle is 180′-135 “, or 45′ .
What is the reference angle of 300?
60 degrees
360 – 300 = 60 degrees. The reference angle for 300 is 60 degrees.
What is the reference angle of 163?
Find an angle that is positive, less than 360° , and coterminal with −163° . Add 360° 360 ° to −163° – 163 ° . The resulting angle of 197° 197 ° is positive and coterminal with −163° – 163 ° . Since the angle 180° is in the third quadrant, subtract 180° from 197° .
What is the reference angle of 329?
The reference angle, when?= 329°, is 31°.
What is the reference angle of 235?
55 degrees
The reference angle for 235 is 55 degrees. If the terminal side of the angle is in the fourth quadrant, we take the angle and subtract it from 360 degrees.
What is the reference angle of 315?
45∘
So, the reference angle is 360∘−315∘=45∘ . ∴ We have found the reference angle for 315 degrees as 45∘ .
What is the reference angle of 390?
Trigonometry Examples Find an angle that is positive, less than 360° , and coterminal with 390° . Subtract 360° 360 ° from 390° 390 ° . The resulting angle of 30° 30 ° is positive, less than 360° 360 ° , and coterminal with 390° 390 ° .
What is the reference angle for 495?
45°
The coterminal angle is 495° − 360° = 135°. Therefore, the reference angle of 495° is 45°.
What is the reference angle of 1200?
60°
Clearly, 240° is close to 180° and by 60°. Therefore, the reference angle of -1200° is 60°.
What is the reference angle for 292?
Trigonometry Examples The resulting angle of 68° 68 ° is positive and coterminal with −292° – 292 ° . Since 68° is in the first quadrant, the reference angle is 68° .
What is the reference angle of 570?
Find an angle that is positive, less than 360° , and coterminal with 570° . Subtract 360° 360 ° from 570° 570 ° . The resulting angle of 210° 210 ° is positive, less than 360° 360 ° , and coterminal with 570° 570 ° .