Sin ( 300) = ____a.Cos 3300b.Sin 3900c.- sin 1500d.Sin 210 0
Question
Sin ( 300) = ____a.Cos 3300b.Sin 3900c.- sin 1500d.Sin 210 0
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Solution
The sine function has a periodicity of 360 degrees, which means that sin(x) = sin(x + 360n) for any integer n.
So, sin(300) = sin(300 + 360n) for any integer n.
Let's compare this with the options:
a. Cos(330) = sin(90 - 330) = sin(-240) = sin(120) ≠ sin(300) b. Sin(390) = sin(390 - 360) = sin(30) ≠ sin(300) c. -Sin(150) = -sin(150) = sin(-150) = sin(210) ≠ sin(300) d. Sin(210) = sin(210) = sin(210) = sin(300)
Therefore, the correct answer is d. Sin(210).
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