How do you prove sin(180° - a) = sin(a)?

We need to evAluAte sin (180-x)

Solution

We can evaluate sin (180-x) using the trigonometric identity

sin (A – B) = sin A.cos B – sin B.cos A
sin (180 – A) = sin 180.cos A – sin A.cos 180

Now will substitute the known values.
sin 180 = 0 And cos 180 = -1

sin (180 – A) =0.cos A – sin A.-1

sin (180 – A) = sin A

Answer

sin (180-x)= sin A

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