How do you evaluate $arcsin (\frac{1}{6})$ $arcsin(1/6)$ ?

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How do you evaluate $arcsin (\frac{1}{6})$ $arcsin(1/6)$ ?

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Answer 1 · 2015-10-25T23:56:44

Evaluate $arcsin (\frac{1}{6})$ $arcsin (1/6)$

Ans: $9^{\circ} 59 and 170^{\circ} 41$ $9^@59 and 170^@41$

Explanation:

Use calculator.
$sin x = \frac{1}{6}$ $sin x = 1/6$ --> arc $x = 9^{\circ} 59$ $x = 9^@59$
The trig unit circle gives another arc x that has the same sin value:
$x = 180 - 9.59 = 170^{\circ} 41$ $x = 180 - 9.59 = 170^@41$

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