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Q47.

Expert-verifiedFound in: Page 768

Book edition
Middle English Edition

Author(s)
Carter

Pages
804 pages

ISBN
9780079039903

**Solve the equation $Arccos\left(\frac{\sqrt{2}}{2}\right)=x$.**

The solution for the equation is $x=\frac{\pi}{4}$.

The given equation is $arccos\left(\frac{\sqrt{2}}{2}\right)=x$.

The given equation $arccos\left(\frac{2}{\sqrt{2}}\right)=y$ is solved as:

$\begin{array}{c}arccos\left(\frac{\sqrt{2}}{2}\right)=x\mathrm{....}\left(\text{Given}\right)\\ x={\mathrm{cos}}^{-1}\left(\frac{1}{\sqrt{2}}\right)\\ \mathrm{cos}x=\frac{1}{\sqrt{2}}\\ x=\frac{\pi}{4}\end{array}$

The solution for the given equation is $x=\frac{\pi}{4}$.

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