Give the exact value of the expression.
-$\cos \left( \arcsin \frac { 1 } { 4 } \right)$

Name: Give the exact value of the expression. -$\cos \left( \arcsin \frac { 1 } { 4 } \right)$
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Question

Quizplus · Accepted Answer

To find the exact value of $\cos(\arcsin(\frac{1}{4}))$, we use the Pythagorean identity $\sin^2(x) + \cos^2(x) = 1$. If $\sin(x) = \frac{1}{4}$, then $\cos(x) = \sqrt{1 - \sin^2(x)} = \sqrt{1 - \left(\frac{1}{4}\right)^2} = \sqrt{1 - \frac{1}{16}} = \sqrt{\frac{15}{16}} = \frac{\sqrt{15}}{4}$.

Give the Exact Value of the Expression cos⁡(arcsin⁡14)\cos \left( \arcsin \frac { 1 } { 4 } \right)cos(arcsin41​)

Give the Exact Value of the Expression $\cos \left( \arcsin \frac { 1 } { 4 } \right)$