Question 978445: what is the cosecant of 520 degree, and equals to: draw the figure. Found 2 solutions by Alan3354, Edwin McCravy:Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website! what is the cosecant of 520 degree, and equals to: draw the figure.
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520 - 360 = 160 degs
sin(160) =~ 0.34202
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csc = 1/sine =~ 2.9238
The other tutor did not show you how to draw the angle:
Divide 520° by 360°.
1
360°)520°
360°
160°
The quotient 1 is the number of complete revolutions we make
in the counterclockwise direction from the right side of the
x-axis:
The remainder 160° is the amount of rotation we must make after
we make the 1 rotation. In the graph below, the curved spiral
indicates the counterclockwise rotation of 520°.
The green part of the spiral indicates the 1 revolution, and the
red part of the spiral indicates the remainder 160°. so 520° is
in the second quadrant. Its reference angle is the angle between
the terminal side and the x-axis, which is 180°-160° = 20°.
So we find the csc(20°) by first finding sin(20°)=0.3420201433 and since the
cosecant is the reciprocal of the sine, we find
Since the sine and cosecant are positive in the 2nd quadrant, the
answer is 2.9238044.
Edwin
