# Solve for x in Degrees 5tan(x)sin(x)-4sin(x)=0

Solve for x in Degrees 5tan(x)sin(x)-4sin(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.
Add and .
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 .
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 tangent of both sides of the equation to extract from inside the tangent.
Simplify the right side.
Evaluate .
The tangent function is positive in the first and third quadrants. To find the second solution, subtract the reference angle from to find the solution in the fourth quadrant.
Add and .
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 the answers.
Consolidate and to .
, for any integer
Consolidate and to .
, for any integer
, for any integer
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### Name

Name one billion four hundred four million six hundred eleven thousand three hundred sixty

### Interesting facts

• 1404611360 has 256 divisors, whose sum is 12809468952
• The reverse of 1404611360 is 0631164041
• Previous prime number is 1721

### Basic properties

• Is Prime? no
• Number parity even
• Number length 10
• Sum of Digits 26
• Digital Root 8

### Name

Name one billion one hundred million five hundred fifteen thousand six hundred thirty-eight

### Interesting facts

• 1100515638 has 64 divisors, whose sum is 2356687872
• The reverse of 1100515638 is 8365150011
• Previous prime number is 53

### Basic properties

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

### Name

Name one billion three hundred nineteen million one hundred seventy thousand five hundred thirty-nine

### Interesting facts

• 1319170539 has 4 divisors, whose sum is 1345036680
• The reverse of 1319170539 is 9350719131
• Previous prime number is 51

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 10
• Sum of Digits 39
• Digital Root 3