Find the Exact Value sec(45)

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Trigonometry

$\sec (45)$

The exact value of $\sec (45)$ is $\frac{2}{\sqrt{2}}$ .

$\frac{2}{\sqrt{2}}$

Multiply $\frac{2}{\sqrt{2}}$ by $\frac{\sqrt{2}}{\sqrt{2}}$ .

$\frac{2}{\sqrt{2}} \cdot \frac{\sqrt{2}}{\sqrt{2}}$

Combine and simplify the denominator.

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Multiply $\frac{2}{\sqrt{2}}$ and $\frac{\sqrt{2}}{\sqrt{2}}$ .

$\frac{2 \sqrt{2}}{\sqrt{2} \sqrt{2}}$

Raise $\sqrt{2}$ to the power of $1$ .

$\frac{2 \sqrt{2}}{{\sqrt{2}}^{1} \sqrt{2}}$

Raise $\sqrt{2}$ to the power of $1$ .

$\frac{2 \sqrt{2}}{{\sqrt{2}}^{1} {\sqrt{2}}^{1}}$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$\frac{2 \sqrt{2}}{{\sqrt{2}}^{1 + 1}}$

Add $1$ and $1$ .

$\frac{2 \sqrt{2}}{{\sqrt{2}}^{2}}$

Rewrite ${\sqrt{2}}^{2}$ as $2$ .

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Rewrite $\sqrt{2}$ as $2^{\frac{1}{2}}$ .

$\frac{2 \sqrt{2}}{{(2^{\frac{1}{2}})}^{2}}$

Apply the power rule and multiply exponents, ${(a^{m})}^{n} = a^{m n}$ .

$\frac{2 \sqrt{2}}{2^{\frac{1}{2} \cdot 2}}$

Combine $\frac{1}{2}$ and $2$ .

$\frac{2 \sqrt{2}}{2^{\frac{2}{2}}}$

Cancel the common factor of $2$ .

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Cancel the common factor.

$\frac{2 \sqrt{2}}{2^{\frac{2}{2}}}$

Divide $1$ by $1$ .

$\frac{2 \sqrt{2}}{2^{1}}$

Evaluate the exponent.

$\frac{2 \sqrt{2}}{2}$

Cancel the common factor of $2$ .

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Cancel the common factor.

$\frac{2 \sqrt{2}}{2}$

Divide $\sqrt{2}$ by $1$ .

$\sqrt{2}$

The result can be shown in multiple forms.

Exact Form:

$\sqrt{2}$

Decimal Form:

$1.41421356 \dots$

Do you know how to Find the Exact Value sec(45)? If not, you can write to our math experts in our application. The best solution for your task you can find above on this page.

Name

Name	one billion seven hundred sixty-five million six hundred twelve thousand five hundred fifty-six

Interesting facts

1765612556 has 16 divisors, whose sum is 3978099216
The reverse of 1765612556 is 6552165671
Previous prime number is 727

Basic properties

Is Prime? no
Number parity even
Number length 10
Sum of Digits 44
Digital Root 8

Name

Name	one billion seven hundred eighty-eight million five hundred thirty-eight thousand six hundred eighty-seven

Interesting facts

1788538687 has 4 divisors, whose sum is 1926118600
The reverse of 1788538687 is 7868358871
Previous prime number is 13

Basic properties

Is Prime? no
Number parity odd
Number length 10
Sum of Digits 61
Digital Root 7

Name

Name	two billion eighty-seven million seven hundred ninety thousand eight hundred eighty-one

Interesting facts

2087790881 has 16 divisors, whose sum is 2384544960
The reverse of 2087790881 is 1880977802
Previous prime number is 29

Basic properties

Is Prime? no
Number parity odd
Number length 10
Sum of Digits 50
Digital Root 5

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