Find the exact value of cos(arcsin( one fourth for full credit, explain your reasoning. (2 points)

Hello from MrBillDoesMath!

sqrt(15)/4

Discussion:

The attachment shows a right triangle where arcsin(@) = 1/4. (The arcsin means find the angle whose sine is 1/4 as is done in the triangle.) The missing side, sqrt(15), shown in red, was determined by the Pythagorean theorem.

Then cos(@) = cos(arcsin(1/4)) =  sqrt(15)/4

Thank you,

MrB

x=6 and x=3

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the answer is a if my teacher taught me correct