Find the Exact Value sec((11pi)/6)

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Trigonometry

$\sec (\frac{11 π}{6})$

Apply the reference angle by finding the angle with equivalent trig values in the first quadrant.

$\sec (\frac{π}{6})$

The exact value of $\sec (\frac{π}{6})$ 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((11pi)/6)? 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	four hundred sixty-nine million two hundred seven thousand eight hundred forty-one

Interesting facts

469207841 has 8 divisors, whose sum is 482961000
The reverse of 469207841 is 148702964
Previous prime number is 457

Basic properties

Is Prime? no
Number parity odd
Number length 9
Sum of Digits 41
Digital Root 5

Name

Name	seventy-three million nine hundred fifty-seven thousand three hundred twenty-three

Interesting facts

73957323 has 8 divisors, whose sum is 98658000
The reverse of 73957323 is 32375937
Previous prime number is 9449

Basic properties

Is Prime? no
Number parity odd
Number length 8
Sum of Digits 39
Digital Root 3

Name

Name	eight hundred twenty-eight million eight hundred seventy-eight thousand nine hundred twenty-nine

Interesting facts

828878929 has 4 divisors, whose sum is 828946800
The reverse of 828878929 is 929878828
Previous prime number is 15971

Basic properties

Is Prime? no
Number parity odd
Number length 9
Sum of Digits 61
Digital Root 7

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