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Find the value of sin of negative 𝜋 over six.
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In this question, our angle is given in radians.
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And we recall that 𝜋 radians is equal to 180 degrees.
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Dividing through by six, we see that 𝜋 over six radians is equal to 30 degrees, and this means that negative 𝜋 over six radians is equal to negative 30 degrees.
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We therefore need to find the value of sin of negative 30 degrees.
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Next, we recall that the sine function is an odd function, such that the sin of negative 𝜃 is equal to negative sin 𝜃.
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This means that the sin of negative 30 degrees is equal to negative sin 30 degrees.
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We know that 30 degrees is one of our special angles, and the sin of 30 degrees is equal to one-half.
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The sin of negative 30 degrees is therefore equal to negative one-half.
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And we can therefore conclude that the sin of negative 𝜋 over six radians is equal to negative one-half.