How do you find the value of #sin 630#?

2 Answers
Shantelle
May 4, 2018

#-1#

Explanation:

First, #sin630^@# means that it makes more than one cycle around the axes. That means that we can subtract one cycle, or #360^@#, and the sine of that will still be the same.

So:
#630^@ - 360^@ = 270^@#

At #270^@#, the coordinate is on the negative #y#-axis, or at the coordinate #(0, -1)#.

We know that the cosine of an angle is the #x#-coordinate and the sine of an angle is the #y#-coordinate. That means that #sin270^@ = -1#.

Hope this helps!

Kelly
May 4, 2018

#sin630 = -1#

Explanation:

630-360 = 270 degree

the coordinate of 270 degrees (#3pi/2#) in the unit circle is (0,-1)
and sin is the y-value of the coordinate so sin630 is -1

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