# Solve for x in Degrees 8cos(x)sin(x)+9sin(x)=0

Solve for x in Degrees 8cos(x)sin(x)+9sin(x)=0
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.
The range of cosine is . Since does not fall in this range, there is no solution.
No solution
No solution
No solution
The final solution is all the values that make true.
, for any integer
, for any integer
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### Name

Name six hundred forty-five million four hundred sixty-three thousand seventy-nine

### Interesting facts

• 645463079 has 16 divisors, whose sum is 696729600
• The reverse of 645463079 is 970364546
• Previous prime number is 269

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 9
• Sum of Digits 44
• Digital Root 8

### Name

Name one billion seventy-one million five hundred ninety-two thousand four hundred eighty-one

### Interesting facts

• 1071592481 has 8 divisors, whose sum is 1088260704
• The reverse of 1071592481 is 1842951701
• Previous prime number is 163

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 10
• Sum of Digits 38
• Digital Root 2

### Name

Name one billion eight hundred seventy-five million eight hundred fifty-three thousand one hundred forty-four

### Interesting facts

• 1875853144 has 32 divisors, whose sum is 6906550536
• The reverse of 1875853144 is 4413585781
• Previous prime number is 11

### Basic properties

• Is Prime? no
• Number parity even
• Number length 10
• Sum of Digits 46
• Digital Root 1