Find the Exact Value csc(pi/3)

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Trigonometry

$\csc (\frac{π}{3})$

The exact value of $\csc (\frac{π}{3})$ 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 csc(pi/3)? 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 eighty-one million eight hundred seventeen thousand five hundred seventy-three

Interesting facts

1481817573 has 8 divisors, whose sum is 2004391200
The reverse of 1481817573 is 3757181841
Previous prime number is 69

Basic properties

Is Prime? no
Number parity odd
Number length 10
Sum of Digits 45
Digital Root 9

Name

Name	nine hundred sixty-five million nine hundred fifty-five thousand five hundred ninety-two

Interesting facts

965955592 has 128 divisors, whose sum is 3930975360
The reverse of 965955592 is 295559569
Previous prime number is 1481

Basic properties

Is Prime? no
Number parity even
Number length 9
Sum of Digits 55
Digital Root 1

Name

Name	five hundred twenty-one million five hundred thousand three hundred fifty-six

Interesting facts

521500356 has 128 divisors, whose sum is 1941528960
The reverse of 521500356 is 653005125
Previous prime number is 13

Basic properties

Is Prime? no
Number parity even
Number length 9
Sum of Digits 27
Digital Root 9

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