# Solve for x in Degrees 8cos(x)tan(x)=-tan(x)

Solve for x in Degrees 8cos(x)tan(x)=-tan(x)
Rewrite in terms of sines and cosines, then cancel the common factors.
Reorder and .
Rewrite in terms of sines and cosines.
Cancel the common factors.
Divide each term in by and simplify.
Divide each term in by .
Simplify the left side.
Separate fractions.
Rewrite in terms of sines and cosines.
Multiply by the reciprocal of the fraction to divide by .
Write as a fraction with denominator .
Cancel the common factor of .
Cancel the common factor.
Rewrite the expression.
Divide by .
Simplify the right side.
Dividing two negative values results in a positive value.
Cancel the common factor of .
Cancel the common factor.
Rewrite the expression.
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.
Take the inverse cosine of both sides of the equation to extract from inside the cosine.
Simplify the right side.
Evaluate .
The cosine function is negative in the second and third quadrants. To find the second solution, subtract the reference angle from to find the solution in the third 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
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### Name

Name one billion five hundred eighty-three million seven hundred ninety-six thousand nine hundred twenty-seven

### Interesting facts

• 1583796927 has 8 divisors, whose sum is 2222872960
• The reverse of 1583796927 is 7296973851
• Previous prime number is 19

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 10
• Sum of Digits 57
• Digital Root 3

### Name

Name one billion one hundred five million five hundred two thousand one hundred eighty-three

### Interesting facts

• 1105502183 has 4 divisors, whose sum is 1113571680
• The reverse of 1105502183 is 3812055011
• Previous prime number is 137

### Basic properties

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

### Name

Name two hundred thirty-one million three hundred forty-five thousand eight hundred sixty-one

### Interesting facts

• 231345861 has 8 divisors, whose sum is 308740320
• The reverse of 231345861 is 168543132
• Previous prime number is 1123

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 9
• Sum of Digits 33
• Digital Root 6