Given an angle in radians find the quadrant it is in - Math test answers

👉 Learn how to determine the quadrant of an angle given in radians. Recall that 1 radian is the distance on the circumference of the circle that is equivalent to the radius of the circle. Also, recall that the circumference of a circle is equivalent to 2pi radians.

To determine the quadrant of the angle in radians written in terms of pi, we divide the top half and the bottom half of the circumference of the circle into the number of parts corresponding to the denominator of the radian angle. Then we count from the positive x-axis in an anti-clockwise direction for positive angles and in the clockwise direction for negative angles the number of parts corresponding to the coefficient of pi in the numerator.

The quadrant where the number of parts corresponds to the coefficient of the pi in the numerator of radian angle is the required quadrant.

Organized Videos:
✅ Angles in Trigonometry
✅ Solve Problems with Arc Length
✅ Angles in Trigonometry | Learn about
✅ Sketch Angles in Standard Position
✅ Find the Quadrant of the Angle
✅ Find the Reference Angle
✅ Complement and Supplement of an Angle
✅ Convert Radians to Degrees
✅ Convert Degrees to Radians
✅ Convert Degrees to Degree Minute Seconds
✅ Convert Degree Minute Seconds to Degrees
✅ Coterminal Angles | Learn About
✅ Find Coterminal Angles | 0 and 2pi
✅ Find Coterminal Angles | 0 and 360

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#trigonometry #brianmclogan

[brianmclogan]

your welcome, happy to help. I try to make my videos quick and to the point

[kaylarandall]

Ahhh thanks so much! I am home educated, and my Trigonometry curriculum sometimes doesnt explain important parts when moving through the lessons. This really helped me get past a roadblock!

[juliannamayfield]

dang, this makes life so much easier for precalc

[brianmclogan]

great! I have a whole playlist on this section, hope it helps you out

[brianmclogan]

glad it's helping you out. I am making videos all year long

[brianmclogan]

yes that makes sense, however we do not spend too much time in my class trying to memorize facts like that but it is a good way when given an angle in radians with a large denominator or unusual one like 7

[brianmclogan]

we have fun, all of my classes are recorded so what you see is what you get. No editing

[adolfodani]

Thanks for that. But I have a question. How do you do it for -5pi/3? How to divide the quadrants by 3. Thanks!

[lavender]

Oh my gosh. thank you so much. This makes so much more sense now!

[strugglingcollegestudent]

I'm looking for what quadrant 4 radians is in...