Select True or False for each statement

Mathematics

2 answers:

adoni [48]4 years ago

6 0

<span>False

</span>
<span>True.

glad to help out
</span>

Liula [17]4 years ago

5 0

1) FALSE

2) TRUE ..........

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How to find reference angle of 28pi/18

slamgirl [31]

I'm a big fan of converting radians to degrees so the angles are easier to plot in a coordinate plane. Converting the radian measure to degrees is done with dimensional analysis, using the fact that there are 180 degrees in pi. $\frac{28\pi}{18}=\frac{14\pi}{9}$ . Let's reduce that first. Now that's out of the way... $\frac{14\pi}{9}*\frac{180}{\pi} =280$ . So 280 degrees. That angle will fall into the fourth quadrant, only 10 degrees "after" the negative y axis, which is 270. We go 10 degrees into the 4th quadrant. Reference angles are ALWAYS measured from the tip of the terminal ray of the angle to the nearest x axis. Since all 4 quadrants measure 90 degrees, 90 - 10 = 80. The reference angle, then, is 80 degrees. Converting that back to radians we get that the reference angle is $\frac{4\pi}{9}$ . There you go!