# Solve for x f(x)*(2sin(x-pi/4))=0

Solve for x f(x)*(2sin(x-pi/4))=0
Divide each term by and simplify.
Divide each term in by .
Simplify the left side of the equation by cancelling the common factors.
Cancel the common factor of .
Cancel the common factor.
Rewrite the expression.
Reorder factors in .
Simplify .
Cancel the common factor of and .
Factor out of .
Cancel the common factors.
Factor out of .
Cancel the common factor.
Rewrite the expression.
Divide by .
Take the inverse sine of both sides of the equation to extract from inside the sine.
The exact value of is .
Add to both sides of the equation.
The sine function is positive in the first and second quadrants. To find the second solution, subtract the reference angle from to find the solution in the second quadrant.
Simplify the expression to find the second solution.
Subtract from .
Move all terms not containing to the right side of the equation.
Add to both sides of the equation.
Simplify the right side of the equation.
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.
Move to the left of .
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
, for any integer
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### Name

Name one billion six hundred fifty-five million seven hundred four thousand nine hundred twenty-nine

### Interesting facts

• 1655704929 has 8 divisors, whose sum is 2207797920
• The reverse of 1655704929 is 9294075561
• Previous prime number is 28409

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 10
• Sum of Digits 48
• Digital Root 3

### Name

Name one billion forty-six million nine hundred five thousand two hundred twelve

### Interesting facts

• 1046905212 has 16 divisors, whose sum is 3140715672
• The reverse of 1046905212 is 2125096401
• Previous prime number is 3

### Basic properties

• Is Prime? no
• Number parity even
• Number length 10
• Sum of Digits 30
• Digital Root 3

### Name

Name one billion five hundred ninety-five million five hundred eight thousand two hundred forty-eight

### Interesting facts

• 1595508248 has 64 divisors, whose sum is 5676853248
• The reverse of 1595508248 is 8428055951
• Previous prime number is 47

### Basic properties

• Is Prime? no
• Number parity even
• Number length 10
• Sum of Digits 47
• Digital Root 2