# Solve for x in Degrees 2sin(x)cos(x)=cos(x)

Solve for x in Degrees 2sin(x)cos(x)=cos(x)
Subtract from both sides of the equation.
Factor out of .
Factor out of .
Factor out of .
Factor out of .
If any individual factor on the left side of the equation is equal to , the entire expression will be equal to .
Set equal to and solve for .
Set equal to .
Solve for .
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
, for any integer
, for any integer
Set equal to and solve for .
Set equal to .
Solve for .
Add to both sides of the equation.
Divide each term in by and simplify.
Divide each term in by .
Simplify the left side.
Cancel the common factor of .
Cancel the common factor.
Divide by .
Take the inverse sine of both sides of the equation to extract from inside the sine.
Simplify the right side.
The exact value of is .
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.
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
, for any integer
, for any integer
The final solution is all the values that make true.
, for any integer
Consolidate and to .
, for any integer
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### Name

Name two billion ninety million four hundred eighty-seven thousand nine hundred eighty-nine

### Interesting facts

• 2090487989 has 4 divisors, whose sum is 2090838624
• The reverse of 2090487989 is 9897840902
• Previous prime number is 6067

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 10
• Sum of Digits 56
• Digital Root 2

### Name

Name one billion four hundred eighty-one million seventy-six thousand nine hundred sixteen

### Interesting facts

• 1481076916 has 16 divisors, whose sum is 3635370720
• The reverse of 1481076916 is 6196701841
• Previous prime number is 11

### Basic properties

• Is Prime? no
• Number parity even
• Number length 10
• Sum of Digits 43
• Digital Root 7

### Name

Name three hundred six million one hundred eighty-eight thousand five hundred ten

### Interesting facts

• 306188510 has 8 divisors, whose sum is 551139336
• The reverse of 306188510 is 015881603
• Previous prime number is 5

### Basic properties

• Is Prime? no
• Number parity even
• Number length 9
• Sum of Digits 32
• Digital Root 5