What is the relation ship between sin x and sin (180 - x)? between sin x and sin (180 + x)?

1 Answer
Nghi N.
Jul 19, 2015

Supplementary arcs:
sin x = sin (180 - x) = #sin (pi - x)#
sin x = - sin (180 + x) = -#sin (pi + x)#

Explanation:

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On the trig unit circle,

#sin (pi - x)# = sin (180 - x) = sin x

#sin (pi + x)# = sin (180 + x) = - sin x

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