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Trigonometry Examples
Step 1
Step 1.1
Finding the LCD of a list of values is the same as finding the LCM of the denominators of those values.
Step 1.2
Since contains both numbers and variables, there are two steps to find the LCM. Find LCM for the numeric part then find LCM for the variable part .
Step 1.3
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 1.4
The number is not a prime number because it only has one positive factor, which is itself.
Not prime
Step 1.5
The LCM of is the result of multiplying all prime factors the greatest number of times they occur in either number.
Step 1.6
The factors for are , which is multiplied by each other times.
occurs times.
Step 1.7
The factor for is itself.
occurs time.
Step 1.8
The factors for are , which is multiplied by each other times.
occurs times.
Step 1.9
The LCM of is the result of multiplying all prime factors the greatest number of times they occur in either term.
Step 1.10
Multiply by .
Step 2
Step 2.1
Multiply each term in by .
Step 2.2
Simplify the left side.
Step 2.2.1
Simplify each term.
Step 2.2.1.1
Cancel the common factor of .
Step 2.2.1.1.1
Cancel the common factor.
Step 2.2.1.1.2
Rewrite the expression.
Step 2.2.1.2
Cancel the common factor of .
Step 2.2.1.2.1
Move the leading negative in into the numerator.
Step 2.2.1.2.2
Factor out of .
Step 2.2.1.2.3
Cancel the common factor.
Step 2.2.1.2.4
Rewrite the expression.
Step 2.3
Simplify the right side.
Step 2.3.1
Cancel the common factor of .
Step 2.3.1.1
Cancel the common factor.
Step 2.3.1.2
Rewrite the expression.
Step 3
Step 3.1
Move all terms not containing to the right side of the equation.
Step 3.1.1
Subtract from both sides of the equation.
Step 3.1.2
Subtract from .
Step 3.2
Divide each term in by and simplify.
Step 3.2.1
Divide each term in by .
Step 3.2.2
Simplify the left side.
Step 3.2.2.1
Dividing two negative values results in a positive value.
Step 3.2.2.2
Divide by .
Step 3.2.3
Simplify the right side.
Step 3.2.3.1
Divide by .