Find the Exact Value sec(45 degrees )

Solve Math

Trigonometry

$\sec (45 °)$

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.

Tap for more steps...

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 $2$ .

Tap for more steps...

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 $2$ .

Tap for more steps...

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 $2$ .

Tap for more steps...

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(45 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	one billion five hundred twenty-three million nine hundred seventy-eight thousand nine hundred seventy-three

Interesting facts

1523978973 has 4 divisors, whose sum is 1539372800
The reverse of 1523978973 is 3798793251
Previous prime number is 99

Basic properties

Is Prime? no
Number parity odd
Number length 10
Sum of Digits 54
Digital Root 9

Name

Name	seventy-five million three hundred ninety-one thousand eight hundred sixteen

Interesting facts

75391816 has 32 divisors, whose sum is 255975552
The reverse of 75391816 is 61819357
Previous prime number is 167

Basic properties

Is Prime? no
Number parity even
Number length 8
Sum of Digits 40
Digital Root 4

Name

Name	one billion one hundred fifteen million twenty thousand six hundred fifty-four

Interesting facts

1115020654 has 8 divisors, whose sum is 1824579288
The reverse of 1115020654 is 4560205111
Previous prime number is 11

Basic properties

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

Verify the Identity (cos(x))/(sec(x)-1)-(cos(x))/(sec(x)+1)=(2cos(x))/(tan(x)^2)

Graph x^2+y^2+2x-3y=8

Find the Quadrant of the Angle 54 degrees

Verify the Identity 1/(1-sin(x))+1/(1+sin(x))=2sec(x)^2

Find the Reference Angle -pi/40