Question

Evaluate sin(arccos(-4/%7B4%7D%7B%20%5Csqrt%7B25%29%29" id="TexFormula1" title="evaluate \: sin(arccos( - \frac{4}{ \sqrt{25))" alt="evaluate \: sin(arccos( - \frac{4}{ \sqrt{25))" align="absmiddle" class="latex-formula">
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Answer 1

Answer:

sin(arccos(-4/√25)) = 0.6

Step-by-step explanation:

The expression you want to evaluate is

sin(arccos(-4/√25))

= sin(arccos(-4/5))

We place this expression into a calculator and get the result

arccos(-4/5) = 2.498 rads = 143.1°

then

sin(143.1°) = 3/5

sin(143.1°) = 0.6

sin(arccos(-4/√25)) = 0.6