Find the Exact Value sec(30 degrees )

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Trigonometry

$\sec (30 °)$

The exact value of $\sec (30 °)$ is $\frac{2}{\sqrt{3}}$ .

$\frac{2}{\sqrt{3}}$

Multiply $\frac{2}{\sqrt{3}}$ by $\frac{\sqrt{3}}{\sqrt{3}}$ .

$\frac{2}{\sqrt{3}} \cdot \frac{\sqrt{3}}{\sqrt{3}}$

Combine and simplify the denominator.

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Multiply $\frac{2}{\sqrt{3}}$ and $\frac{\sqrt{3}}{\sqrt{3}}$ .

$\frac{2 \sqrt{3}}{\sqrt{3} \sqrt{3}}$

Raise $\sqrt{3}$ to the power of $1$ .

$\frac{2 \sqrt{3}}{{\sqrt{3}}^{1} \sqrt{3}}$

Raise $\sqrt{3}$ to the power of $1$ .

$\frac{2 \sqrt{3}}{{\sqrt{3}}^{1} {\sqrt{3}}^{1}}$

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

$\frac{2 \sqrt{3}}{{\sqrt{3}}^{1 + 1}}$

Add $1$ and $1$ .

$\frac{2 \sqrt{3}}{{\sqrt{3}}^{2}}$

Rewrite ${\sqrt{3}}^{2}$ as $3$ .

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Rewrite $\sqrt{3}$ as $3^{\frac{1}{2}}$ .

$\frac{2 \sqrt{3}}{{(3^{\frac{1}{2}})}^{2}}$

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

$\frac{2 \sqrt{3}}{3^{\frac{1}{2} \cdot 2}}$

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

$\frac{2 \sqrt{3}}{3^{\frac{2}{2}}}$

Cancel the common factor of $2$ .

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Cancel the common factor.

$\frac{2 \sqrt{3}}{3^{\frac{2}{2}}}$

Divide $1$ by $1$ .

$\frac{2 \sqrt{3}}{3^{1}}$

Evaluate the exponent.

$\frac{2 \sqrt{3}}{3}$

The result can be shown in multiple forms.

Exact Form:

$\frac{2 \sqrt{3}}{3}$

Decimal Form:

$1.15470053 \dots$

Do you know how to Find the Exact Value sec(30 degrees )? 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 four hundred fifty-four million seventy-five thousand four hundred six

Interesting facts

1454075406 has 16 divisors, whose sum is 2248817664
The reverse of 1454075406 is 6045704541
Previous prime number is 67

Basic properties

Is Prime? no
Number parity even
Number length 10
Sum of Digits 36
Digital Root 9

Name

Name	two hundred seventy-three million three hundred fifteen thousand one

Interesting facts

273315001 has 4 divisors, whose sum is 289392372
The reverse of 273315001 is 100513372
Previous prime number is 17

Basic properties

Is Prime? no
Number parity odd
Number length 9
Sum of Digits 22
Digital Root 4

Name

Name	twenty-eight million sixty-five thousand two hundred sixty

Interesting facts

28065260 has 32 divisors, whose sum is 76632480
The reverse of 28065260 is 06256082
Previous prime number is 89

Basic properties

Is Prime? no
Number parity even
Number length 8
Sum of Digits 29
Digital Root 2

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