What is the relation ship between sin x and sin (180  x)? between sin x and sin (180 + x)?
Supplementary arcs:
sin x = sin (180  x) =
sin x =  sin (180 + x) = 
On the trig unit circle,
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The relationships between sin x and sin (180  x), as well as sin x and sin (180 + x), are as follows:

For sin x and sin (180  x):
 sin (180  x) = sin (180)cos(x)  cos(180)sin(x)
 Since sin(180) = 0 and cos(180) = 1, the equation simplifies to: sin (180  x) = 0*cos(x)  (1)*sin(x)
 Which further simplifies to: sin (180  x) = sin(x)

For sin x and sin (180 + x):
 sin (180 + x) = sin (180)cos(x) + cos(180)sin(x)
 Since sin(180) = 0 and cos(180) = 1, the equation simplifies to: sin (180 + x) = 0*cos(x) + (1)*sin(x)
 Which further simplifies to: sin (180 + x) = sin(x)
So, the relationship between sin x and sin (180  x) is sin (180  x) = sin(x), and the relationship between sin x and sin (180 + x) is sin (180 + x) = sin(x).
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When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
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