Enter a problem...
Trigonometry Examples
Step 1
Step 1.1
Add to both sides of the equation.
Step 1.2
Split the fraction into two fractions.
Step 1.3
Find the common denominator.
Step 1.3.1
Write as a fraction with denominator .
Step 1.3.2
Multiply by .
Step 1.3.3
Multiply by .
Step 1.4
Combine the numerators over the common denominator.
Step 1.5
Simplify each term.
Step 1.5.1
Apply the distributive property.
Step 1.5.2
Multiply by .
Step 1.6
Add and .
Step 1.7
Add and .
Step 1.8
Split the fraction into two fractions.
Step 2
Step 2.1
Finding the LCD of a list of values is the same as finding the LCM of the denominators of those values.
Step 2.2
The LCM is the smallest positive number that all of the numbers divide into evenly.
1. List the prime factors of each number.
2. Multiply each factor the greatest number of times it occurs in either number.
Step 2.3
The number is not a prime number because it only has one positive factor, which is itself.
Not prime
Step 2.4
The LCM of is the result of multiplying all prime factors the greatest number of times they occur in either number.
Step 2.5
The factor for is itself.
occurs time.
Step 2.6
The factor for is itself.
occurs time.
Step 2.7
The LCM of is the result of multiplying all factors the greatest number of times they occur in either term.
Step 3
Step 3.1
Multiply each term in by .
Step 3.2
Simplify the left side.
Step 3.2.1
Cancel the common factor of .
Step 3.2.1.1
Cancel the common factor.
Step 3.2.1.2
Rewrite the expression.
Step 3.2.2
Apply the distributive property.
Step 3.2.3
Multiply by .
Step 3.3
Simplify the right side.
Step 3.3.1
Simplify each term.
Step 3.3.1.1
Cancel the common factor of .
Step 3.3.1.1.1
Factor out of .
Step 3.3.1.1.2
Cancel the common factor.
Step 3.3.1.1.3
Rewrite the expression.
Step 3.3.1.2
Apply the distributive property.
Step 3.3.1.3
Multiply by by adding the exponents.
Step 3.3.1.3.1
Move .
Step 3.3.1.3.2
Multiply by .
Step 3.3.1.4
Multiply by .
Step 3.3.1.5
Cancel the common factor of .
Step 3.3.1.5.1
Factor out of .
Step 3.3.1.5.2
Cancel the common factor.
Step 3.3.1.5.3
Rewrite the expression.
Step 3.3.1.6
Apply the distributive property.
Step 3.3.1.7
Multiply by .
Step 3.3.2
Add and .
Step 4
Step 4.1
Since is on the right side of the equation, switch the sides so it is on the left side of the equation.
Step 4.2
Move all terms containing to the left side of the equation.
Step 4.2.1
Subtract from both sides of the equation.
Step 4.2.2
Subtract from .
Step 4.3
Move all terms to the left side of the equation and simplify.
Step 4.3.1
Subtract from both sides of the equation.
Step 4.3.2
Subtract from .
Step 4.4
Use the quadratic formula to find the solutions.
Step 4.5
Substitute the values , , and into the quadratic formula and solve for .
Step 4.6
Simplify.
Step 4.6.1
Simplify the numerator.
Step 4.6.1.1
Raise to the power of .
Step 4.6.1.2
Multiply .
Step 4.6.1.2.1
Multiply by .
Step 4.6.1.2.2
Multiply by .
Step 4.6.1.3
Subtract from .
Step 4.6.2
Multiply by .
Step 4.7
The final answer is the combination of both solutions.
Step 5
The result can be shown in multiple forms.
Exact Form:
Decimal Form: