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 .
Tap for more steps...
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 .
Tap for more steps...
Set equal to .
Solve for .
Tap for more steps...
Take the inverse sine of both sides of the equation to extract from inside the sine.
Simplify the right side.
Tap for more steps...
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 .
Tap for more steps...
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 .
Tap for more steps...
Set equal to .
Solve for .
Tap for more steps...
Subtract from both sides of the equation.
Divide each term in by and simplify.
Tap for more steps...
Divide each term in by .
Simplify the left side.
Tap for more steps...
Cancel the common factor of .
Tap for more steps...
Cancel the common factor.
Divide by .
Simplify the right side.
Tap for more steps...
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
Consolidate the answers.
, for any integer
Do you know how to Solve for x in Degrees 8cos(x)sin(x)+9sin(x)=0? If not, you can write to our math experts in our application. The best solution for your task you can find above on this page.

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