# 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.
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.
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
Consolidate and to .
, for any integer
, for any integer
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### Name

Name three hundred forty-two million five hundred ninety-one thousand eight hundred fifty-six

### Interesting facts

• 342591856 has 64 divisors, whose sum is 1736545392
• The reverse of 342591856 is 658195243
• Previous prime number is 823

### Basic properties

• Is Prime? no
• Number parity even
• Number length 9
• Sum of Digits 43
• Digital Root 7

### Name

Name one hundred eighty million one hundred thirty-eight thousand nine hundred seventy-one

### Interesting facts

• 180138971 has 4 divisors, whose sum is 181453992
• The reverse of 180138971 is 179831081
• Previous prime number is 137

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 9
• Sum of Digits 38
• Digital Root 2

### Name

Name one billion six hundred seventy-six million three hundred ninety-four thousand seven hundred sixty-three

### Interesting facts

• 1676394763 has 4 divisors, whose sum is 1676477968
• The reverse of 1676394763 is 3674936761
• Previous prime number is 34231

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 10
• Sum of Digits 52
• Digital Root 7