Question 1101851: Find the exact value of cos(arcsin(one fourth)). For full credit, explain your reasoning.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Find the exact value of cos(arcsin(one fourth)). For full credit, explain your reasoning.
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You want the cosine of the angle whose sine is 1/4.
Since the sin(t) is 1/4, y = 1 and r = 4
Then x = sqrt[4^2-1^2] = sqrt(15)
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So, the cosine of the angle whose sine is 1/4 is sqrt(15)/4
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Cheers,
Stan H.
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