Find the Reference Angle cot((13pi)/3)

Solve Math

Trigonometry

$\cot (\frac{13 π}{3})$

Subtract full rotations of $2 π$ until the angle is greater than or equal to $0$ and less than $2 π$ .

$\cot (\frac{π}{3})$

The exact value of $\cot (\frac{π}{3})$ is $\frac{1}{\sqrt{3}}$ .

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

Multiply $\frac{1}{\sqrt{3}}$ by $\frac{\sqrt{3}}{\sqrt{3}}$ .

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

Combine and simplify the denominator.

Tap for more steps...

Multiply $\frac{1}{\sqrt{3}}$ and $\frac{\sqrt{3}}{\sqrt{3}}$ .

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

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

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

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

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

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

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

Add $1$ and $1$ .

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

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

Tap for more steps...

Use $\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ to rewrite $\sqrt{3}$ as $3^{\frac{1}{2}}$ .

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

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

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

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

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

Cancel the common factor of $2$ .

Tap for more steps...

Cancel the common factor.

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

Rewrite the expression.

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

Evaluate the exponent.

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

The result can be shown in multiple forms.

Exact Form:

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

Decimal Form:

$0.57735026 \dots$

Do you know how to Find the Reference Angle cot((13pi)/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 two hundred eighty-one million eight hundred eight thousand two hundred ninety-one

Interesting facts

1281808291 has 4 divisors, whose sum is 1283270752
The reverse of 1281808291 is 1928081821
Previous prime number is 877

Basic properties

Is Prime? no
Number parity odd
Number length 10
Sum of Digits 40
Digital Root 4

Name

Name	one billion four hundred twenty-one million six hundred seven thousand one hundred thirty-two

Interesting facts

1421607132 has 64 divisors, whose sum is 3854498400
The reverse of 1421607132 is 2317061241
Previous prime number is 33

Basic properties

Is Prime? no
Number parity even
Number length 10
Sum of Digits 27
Digital Root 9

Name

Name	one billion four hundred thirty-one million twelve thousand four hundred sixteen

Interesting facts

1431012416 has 128 divisors, whose sum is 16300126530
The reverse of 1431012416 is 6142101341
Previous prime number is 2

Basic properties

Is Prime? no
Number parity even
Number length 10
Sum of Digits 23
Digital Root 5

Factor over the Complex Numbers (tan(70)h)/5

Simplify cos(51)

Simplify 1/(cos(x))-cos(x)

Simplify cos(40)

Find the Exact Value sin(60+180)