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Answer:
-√3/2
Step-by-step explanation:
By the formula,
sin²x + cos²x = 1
sin²x = 1-cos²x
sinx =√(1-cos²x)
sinx = √(1-(-1/2)²)
sinx = √(1-1/4)
sinx =√3/4
sinx = √3/2
since x lies in 3rd quadrant, sinx will be negative, therefore
sinx = -√3/2
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