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28 December, 02:45

If sinθ = 1/2, and 0°<θ<180°, the smaller value of θ is __° and the larger value of θ is __°.

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Answers (2)
  1. 28 December, 04:01
    0
    Answer: the smaller value of θ is 30° and the larger value of θ is 150°.

    Step-by-step explanation:

    We know, for the notable angles and values of the trigonometric functions (you can find a lot of tables of it) that sin (30°) = 1/2 and also that sin (150°) = 1/2

    Then if 0°<θ<180°, the smallest value of θ is 30°, and the biggest value is 150°

    You also can use the inverse function

    if sinθ = 1/2

    then θ = asin (1/2)
  2. 28 December, 04:32
    0
    Smaller value - 30; Larger value - 150

    Step-by-step explanation:

    This is shown on a Radian Circle.

    To prove that this is true sin (30) = 1/2 & sin (150) = 1/2
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