# Solve for x in Degrees cos(x)=1/( square root of 2)

Solve for x in Degrees cos(x)=1/( square root of 2)
Simplify .
Multiply by .
Combine and simplify the denominator.
Multiply and .
Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.
Rewrite as .
Use to rewrite as .
Apply the power rule and multiply exponents, .
Combine and .
Cancel the common factor of .
Cancel the common factor.
Rewrite the expression.
Evaluate the exponent.
Take the inverse cosine of both sides of the equation to extract from inside the cosine.
Simplify the right side.
The exact value of is .
The cosine function is positive in the first and fourth quadrants. To find the second solution, subtract the reference angle from to find the solution in the fourth quadrant.
Subtract from .
Find the period of .
The period of the function can be calculated using .
Replace with in the formula for period.
The absolute value is the distance between a number and zero. The distance between and is .
Divide by .
The period of the function is so values will repeat every degrees in both directions.
, for any integer
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### Name

Name eight hundred ninety-nine million four hundred nineteen thousand eight hundred ninety-four

### Interesting facts

• 899419894 has 4 divisors, whose sum is 1349129844
• The reverse of 899419894 is 498914998
• Previous prime number is 2

### Basic properties

• Is Prime? no
• Number parity even
• Number length 9
• Sum of Digits 61
• Digital Root 7

### Name

Name one billion eighty-eight million six hundred fifty-six thousand five hundred twenty-three

### Interesting facts

• 1088656523 has 4 divisors, whose sum is 1152695160
• The reverse of 1088656523 is 3256568801
• Previous prime number is 17

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 10
• Sum of Digits 44
• Digital Root 8

### Name

Name one billion one hundred eighty-one million one hundred nine thousand eight hundred thirty-eight

### Interesting facts

• 1181109838 has 8 divisors, whose sum is 1782274032
• The reverse of 1181109838 is 8389011811
• Previous prime number is 167

### Basic properties

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