What is the value of arccos(2/(sqrt(2))) ?

The value of arccos(2/(sqrt(2))) is No Solution for x\in\mathbb{R}

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arccos(2/(sqrt(2)))

arccos (\frac{2}{2})

No Solution for x \in R

Solution steps

arccos (\frac{2}{2})

Simplify:

\frac{2}{2} = 2

\frac{2}{2}

Apply radical rule:

2 = 2^{\frac{1}{2}}

= \frac{2}{2 ^{\frac{1}{2}}}

Apply exponent rule:

\frac{x ^{a}}{x ^{b}} = x^{a - b}

\frac{2 ^{1}}{2 ^{\frac{1}{2}}} = 2^{1 - \frac{1}{2}}

= 2^{1 - \frac{1}{2}}

Subtract the numbers:

1 - \frac{1}{2} = \frac{1}{2}

= 2^{\frac{1}{2}}

Apply radical rule:

2^{\frac{1}{2}} = 2

= 2

= arccos (2)

Real domain for

arccos (x)

- 1 \leq x \leq 1

No Solution for x \in R

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What is the value of arccos(2/(sqrt(2))) ?
The value of arccos(2/(sqrt(2))) is No Solution for x\in\mathbb{R}