# Solve for ? 5sin(x)+1=3sin(x)

Solve for ? 5sin(x)+1=3sin(x)
Move all terms containing to the left side of the equation.
Subtract from both sides of the equation.
Subtract from .
Subtract from both sides of the equation.
Divide each term by and simplify.
Divide each term in by .
Cancel the common factor of .
Cancel the common factor.
Divide by .
Move the negative in front of the fraction.
Take the inverse sine of both sides of the equation to extract from inside the sine.
The exact value of is .
The sine function is negative in the third and fourth quadrants. To find the second solution, subtract the solution from , to find a reference angle. Next, add this reference angle to to find the solution in the third quadrant.
Simplify the expression to find the second solution.
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 .
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 .
Subtract from .
The resulting angle of is positive, less than , and coterminal with .
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 .
Add to every negative angle to get positive angles.
Add to to find the positive angle.
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 .
List the new angles.
The period of the function is so values will repeat every radians in both directions.
, for any integer
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### Name

Name one billion two hundred fourteen million six hundred twenty-six thousand one hundred forty-eight

### Interesting facts

• 1214626148 has 64 divisors, whose sum is 2960556480
• The reverse of 1214626148 is 8416264121
• Previous prime number is 251

### Basic properties

• Is Prime? no
• Number parity even
• Number length 10
• Sum of Digits 35
• Digital Root 8

### Name

Name nine hundred sixty-seven million seven hundred four thousand nine hundred twenty-eight

### Interesting facts

• 967704928 has 128 divisors, whose sum is 7585565760
• The reverse of 967704928 is 829407769
• Previous prime number is 31

### Basic properties

• Is Prime? no
• Number parity even
• Number length 9
• Sum of Digits 52
• Digital Root 7

### Name

Name one billion fifty million four hundred thirty-six thousand eight hundred forty-one

### Interesting facts

• 1050436841 has 4 divisors, whose sum is 1096108032
• The reverse of 1050436841 is 1486340501
• Previous prime number is 23

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 10
• Sum of Digits 32
• Digital Root 5