# Solve for θ in Degrees 6sin(theta)^2-17sin(theta)+14=-4sin(theta)+9

Solve for θ in Degrees 6sin(theta)^2-17sin(theta)+14=-4sin(theta)+9
Move all the expressions to the left side of the equation.
Add to both sides of the equation.
Subtract from both sides of the equation.
Simplify the left side of the equation.
Subtract from .
Factor by grouping.
Reorder terms.
For a polynomial of the form , rewrite the middle term as a sum of two terms whose product is and whose sum is .
Factor out of .
Rewrite as plus
Apply the distributive property.
Factor out the greatest common factor from each group.
Group the first two terms and the last two terms.
Factor out the greatest common factor (GCF) from each group.
Factor the polynomial by factoring out the greatest common factor, .
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 .
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 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 .
The range of sine 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
Do you know how to Solve for θ in Degrees 6sin(theta)^2-17sin(theta)+14=-4sin(theta)+9? 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 nine hundred eighty-seven million two hundred fifty-four thousand two hundred eight

### Interesting facts

• 987254208 has 1024 divisors, whose sum is 20861390592
• The reverse of 987254208 is 802452789
• Previous prime number is 23

### Basic properties

• Is Prime? no
• Number parity even
• Number length 9
• Sum of Digits 45
• Digital Root 9

### Name

Name three hundred ninety-six million six hundred twenty-one thousand four hundred forty-seven

### Interesting facts

• 396621447 has 16 divisors, whose sum is 557256960
• The reverse of 396621447 is 744126693
• Previous prime number is 1097

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 9
• Sum of Digits 42
• Digital Root 6

### Name

Name one billion five hundred six million two hundred five thousand eight hundred seven

### Interesting facts

• 1506205807 has 16 divisors, whose sum is 1621751040
• The reverse of 1506205807 is 7085026051
• Previous prime number is 139

### Basic properties

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