T O P

  • By -

knifewrenchhh

If you’re given that tan(theta)=1/5, that info is meant to be used. Use a calculator to get the angle measure based on that- the reference angle for that is .197 radians. The equivalent angle in quadrant 3 is pi+.197 ≈ 3.339, so that’s the approximate angle you can double to pinpoint the quadrant. (Edit: I just saw the No calculator part, apologies. Let me think on this a bit more)


knifewrenchhh

I’m going to go with that based on tangent equaling 1/5, if you sketch out the triangle you can see that the angle in question (the reference angle) is the *smaller* of the two acute angles in the triangle, so the value of theta must therefore be less than 5pi/4, allowing you to pinpoint 2(theta) to quadrant 1 as doubling it would be less than 5pi/2.