# Solve for x in Radians cos(x)-sin(x)=0

Solve for x in Radians cos(x)-sin(x)=0
Divide each term in the equation by .
Cancel the common factor of .
Cancel the common factor.
Rewrite the expression.
Separate fractions.
Convert from to .
Divide by .
Separate fractions.
Convert from to .
Divide by .
Multiply by .
Subtract from both sides of the equation.
Divide each term in by and simplify.
Divide each term in by .
Simplify the left side.
Dividing two negative values results in a positive value.
Divide by .
Simplify the right side.
Divide by .
Take the inverse tangent of both sides of the equation to extract from inside the tangent.
Simplify the right side.
The exact value of is .
The tangent function is positive in the first and third quadrants. To find the second solution, add the reference angle from to find the solution in the fourth quadrant.
Simplify .
To write as a fraction with a common denominator, multiply by .
Combine fractions.
Combine and .
Combine the numerators over the common denominator.
Simplify the numerator.
Move to the left of .
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 radians in both directions.
, for any integer
, for any integer
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### Name

Name one billion one hundred ninety-nine million one hundred twenty thousand three hundred one

### Interesting facts

• 1199120301 has 16 divisors, whose sum is 1777464000
• The reverse of 1199120301 is 1030219911
• Previous prime number is 1949

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 10
• Sum of Digits 27
• Digital Root 9

### Name

Name one billion nine hundred thirty-four million six hundred ninety-seven thousand fifteen

### Interesting facts

• 1934697015 has 4 divisors, whose sum is 1949028240
• The reverse of 1934697015 is 5107964391
• Previous prime number is 135

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 10
• Sum of Digits 45
• Digital Root 9

### Name

Name four hundred thirty-four million fourteen thousand four hundred two

### Interesting facts

• 434014402 has 8 divisors, whose sum is 651142800
• The reverse of 434014402 is 204410434
• Previous prime number is 6379

### Basic properties

• Is Prime? no
• Number parity even
• Number length 9
• Sum of Digits 22
• Digital Root 4