# Solve for x in Degrees 3tan(x)sin(x)+2sin(x)=0

Solve for x in Degrees 3tan(x)sin(x)+2sin(x)=0
Simplify the left side of the equation.
Simplify each term.
Rewrite in terms of sines and cosines.
Combine and .
Multiply .
Combine and .
Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.
Simplify each term.
Factor out of .
Separate fractions.
Convert from to .
Divide by .
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 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
Set equal to and solve for .
Set equal to .
Solve for .
Subtract from 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 .
Simplify the right side.
Move the negative in front of the fraction.
Take the inverse tangent of both sides of the equation to extract from inside the tangent.
Simplify the right side.
Evaluate .
The tangent function is negative in the second and fourth quadrants. To find the second solution, subtract the reference angle from to find the solution in the third quadrant.
Simplify the expression to find the second solution.
The resulting angle of is positive and coterminal with .
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 .
Add to every negative angle to get positive angles.
Add to to find the positive angle.
Subtract from .
List the new angles.
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
Consolidate and to .
, for any integer
, for any integer
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### Name

Name nine hundred five million ninety-nine thousand seven hundred thirty-nine

### Interesting facts

• 905099739 has 4 divisors, whose sum is 1206799656
• The reverse of 905099739 is 937990509
• Previous prime number is 3

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 9
• Sum of Digits 51
• Digital Root 6

### Name

Name one billion six hundred million two hundred nine thousand seven hundred sixty-three

### Interesting facts

• 1600209763 has 4 divisors, whose sum is 1655389440
• The reverse of 1600209763 is 3679020061
• Previous prime number is 29

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 10
• Sum of Digits 34
• Digital Root 7

### Name

Name two billion ninety-three million two hundred seventy-two thousand seven hundred eighty

### Interesting facts

• 2093272780 has 64 divisors, whose sum is 5048658720
• The reverse of 2093272780 is 0872723902
• Previous prime number is 29

### Basic properties

• Is Prime? no
• Number parity even
• Number length 10
• Sum of Digits 40
• Digital Root 4