Question

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Answer 1

Answer:

The given identity, sin θ = sin (180 - θ), is true based upon a proven identity: sin (θ ‒ Ф), the “Difference of Two Angles” formula:

sin (θ ‒ Ф) = sin Ѳ cos Ф ‒ cos Ѳ sin Ф .

sin (180° ‒ Ѳ) = sin 180° cos Ѳ ‒ cos 180° sin Ѳ

= (0) cos Ѳ ‒ (‒1) sin Ѳ

= 0 ‒ (‒ sin Ѳ)

= (‒1)(‒ sin Ѳ)

= sin Ѳ

Step-by-step explanation:

I think