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    Trigonometric Values and Distance Around a Unit Circle

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    1. Given that sin 59.1 =0.8581, cos 59.1 =0.5135 and tan 59.1=1.6709, find the six function values for 30.9.

    2. If I start at (0,1) on the unit circle, and I travel around the circle until I come to (square root of -3/2, -1/2) how far ?(distance) have I traveled around the circle?

    © BrainMass Inc. brainmass.com December 24, 2021, 6:58 pm ad1c9bdddf
    https://brainmass.com/math/circles/trigonometric-values-distance-around-unit-circle-153892

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    1. Given that sin 59.1 =0.8581, cos 59.1 =0.5135 and tan 59.1=1.6709, find the six function values for 30.9.
    30.9° + 59.1° = 90°
    So the two angles are complementary angles.
    Therefore,

    2. If I start at (0,1) on the unit circle, and I travel around the circle until I come to
    (square root of -3/2, -1/2) how far (distance) have I traveled around the circle.

    So you start from A and travel counter-clockwise to reach B, which is the third quadrant.
    We can convert the xy coordinates to the polar coordinates.
    For B

    Since you are on the unit circle, so r = 1,
    Then

    With in the third quadrant, we have
    Then the arc length (the distance you traveled is)

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    © BrainMass Inc. brainmass.com December 24, 2021, 6:58 pm ad1c9bdddf>
    https://brainmass.com/math/circles/trigonometric-values-distance-around-unit-circle-153892

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