Find the Exact Value sec(315 degrees )

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Trigonometry

$\sec (315 °)$

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

$\sec (45)$

The exact value of $\sec (45)$ is $\frac{2}{\sqrt{2}}$ .

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

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

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

Combine and simplify the denominator.

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

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

Raise $\sqrt{2}$ to the power of $1$ .

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

Raise $\sqrt{2}$ to the power of $1$ .

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

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

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

Add $1$ and $1$ .

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

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

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

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

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

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

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

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

Cancel the common factor of $2$ .

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Cancel the common factor.

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

Divide $1$ by $1$ .

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

Evaluate the exponent.

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

Cancel the common factor of $2$ .

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Cancel the common factor.

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

Divide $\sqrt{2}$ by $1$ .

$\sqrt{2}$

The result can be shown in multiple forms.

Exact Form:

$\sqrt{2}$

Decimal Form:

$1.41421356 \dots$

Do you know how to Find the Exact Value sec(315 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	two billion fifty-one million four hundred six thousand three hundred twenty-two

Interesting facts

2051406322 has 8 divisors, whose sum is 3516696576
The reverse of 2051406322 is 2236041502
Previous prime number is 7

Basic properties

Is Prime? no
Number parity even
Number length 10
Sum of Digits 25
Digital Root 7

Name

Name	seven hundred seventy-eight million five hundred eight thousand two hundred seventy-seven

Interesting facts

778508277 has 8 divisors, whose sum is 1073804640
The reverse of 778508277 is 772805877
Previous prime number is 29

Basic properties

Is Prime? no
Number parity odd
Number length 9
Sum of Digits 51
Digital Root 6

Name

Name	one billion four hundred seventy-seven million eight hundred thirty-three thousand one hundred seventy-two

Interesting facts

1477833172 has 32 divisors, whose sum is 3339996120
The reverse of 1477833172 is 2713387741
Previous prime number is 1229

Basic properties

Is Prime? no
Number parity even
Number length 10
Sum of Digits 43
Digital Root 7

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