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Find the values of the trigonometric functions of θ from the given information: secθ=5, sinθ<0

Mathematics
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281.5 degrees
here find \[\theta= \cos^{-1} (1/5)\]
change the angle to 4th quadrant

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if sin theta is negative the angles will be in the 3rd and 4th quadrants if sec theta = 5 cos theta = 1/5 or 0.2 theta = arcsin 0.2 = 78.5 in first quadrant as sin theta is negative theta = 360 - 78.5 = 281.5 degrees
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