Find the Exact Value sec(330)

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Trigonometry

$\sec (330)$

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

$\sec (30)$

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(330)? 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	nine hundred seventy-four million nine hundred sixty-five thousand six hundred sixty-seven

Interesting facts

974965667 has 4 divisors, whose sum is 1049963040
The reverse of 974965667 is 766569479
Previous prime number is 13

Basic properties

Is Prime? no
Number parity odd
Number length 9
Sum of Digits 59
Digital Root 5

Name

Name	one billion one hundred one million seven hundred eighty-two thousand two hundred fifty-nine

Interesting facts

1101782259 has 16 divisors, whose sum is 1959214464
The reverse of 1101782259 is 9522871011
Previous prime number is 4721

Basic properties

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

Name

Name	one hundred seventy-five million nine hundred fifteen thousand four hundred fifty-four

Interesting facts

175915454 has 32 divisors, whose sum is 310836960
The reverse of 175915454 is 454519571
Previous prime number is 13

Basic properties

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

Solve Graphically log base 36 of x=3/2

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