How do you calculate $({cos}^{- 1}) (\frac{\sqrt{10}}{7})$ $(cos^-1) ((sqrt10)/7)$ ?

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How do you calculate $({cos}^{- 1}) (\frac{\sqrt{10}}{7})$ $(cos^-1) ((sqrt10)/7)$ ?

1 Answer

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Answer 1 · 2015-10-05T13:30:58

$\approx 63.14372854$ $~~63.14372854$

Explanation:

What you're looking for is the angle whose cosine is $\frac{\sqrt{10}}{7}$ $sqrt10/7$ .

So you need to find out what $θ$ $theta$ is in $cos θ = \frac{\sqrt{10}}{7}$ $costheta=sqrt10/7$ .

You will need to use a calculator for this. Look for a button saying ${cos}^{- 1}$ $cos^-1$ . Select that, then type in $\frac{\sqrt{10}}{7}$ $sqrt10/7$ .

You will get 63.14372854...

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