# Solve for ? cos(theta)=( square root of 2)/2

Solve for ? cos(theta)=( square root of 2)/2
Take the inverse cosine of both sides of the equation to extract from inside the cosine.
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.
Simplify .
To write as a fraction with a common denominator, multiply by .
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
Combine.
Multiply by .
Combine the numerators over the common denominator.
Simplify the numerator.
Multiply by .
Subtract from .
Find the period.
The period of the function can be calculated using .
Replace with in the formula for period.
Solve the equation.
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 radians in both directions.
, for any integer
Do you know how to Solve for ? cos(theta)=( square root of 2)/2? 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 forty-five million three hundred eighty-seven thousand seven

### Interesting facts

• 1245387007 has 4 divisors, whose sum is 1245458880
• The reverse of 1245387007 is 7007835421
• Previous prime number is 42719

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 10
• Sum of Digits 37
• Digital Root 1

### Name

Name five hundred thirty-nine million seven hundred seventeen thousand nine hundred forty-one

### Interesting facts

• 539717941 has 8 divisors, whose sum is 620906624
• The reverse of 539717941 is 149717935
• Previous prime number is 151

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 9
• Sum of Digits 46
• Digital Root 1

### Name

Name four hundred thirty-one million six hundred forty-nine thousand seven hundred seventy-two

### Interesting facts

• 431649772 has 8 divisors, whose sum is 971211996
• The reverse of 431649772 is 277946134
• Previous prime number is 2

### Basic properties

• Is Prime? no
• Number parity even
• Number length 9
• Sum of Digits 43
• Digital Root 7