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22 June, 10:27

Write the following expression as a function of a positive acute angle. Use "+" to indicate a positive value and "-" to indicate a negative value.

Sin312° = ?

+1
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  1. 22 June, 10:36
    0
    Answer: sin (312°) = - sin (48°)

    Justification:

    1) 312° ⇒ 270° < 312° < 360° ⇒ third quadrant ⇒ sign of sin (312°) is negative

    2) Acute angle:

    angle = 360° - 312° = 48°

    ⇒ sin (312°) = - sin (48°) ← this is the expression requested.

    Using the calculator you can find the value sin (312°) = - sin (48°) ≈ - 0.743
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