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Q47.

Expert-verified

Algebra 2

Found in: Page 768

Book edition Middle English Edition

Author(s) Carter

Pages 804 pages

ISBN 9780079039903

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Short Answer

Solve the equation $A r c c o s (\frac{\sqrt{2}}{2}) = x$ .

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

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Write down the given equation.

The given equation is $a r c c o s (\frac{\sqrt{2}}{2}) = x$ .

Step 2. Simplify the equation.

The given equation $a r c c o s (\frac{2}{\sqrt{2}}) = y$ is solved as:

$\begin{matrix} a r c c o s (\frac{\sqrt{2}}{2}) = x .... (Given) \\ x = \cos^{- 1} (\frac{1}{\sqrt{2}}) \\ \cos x = \frac{1}{\sqrt{2}} \\ x = \frac{π}{4} \end{matrix}$

Step 3. Conclusion.

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

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