Rewrite in terms of sines and cosines.

Rewrite in terms of sines and cosines.

Add to both sides of the equation.

Finding the LCD of a list of values is the same as finding the LCM of the denominators of those values.

Y,YR,R

Since contain 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 .

The LCM is the smallest 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.

The number is not a prime number because it only has one positive factor, which is itself.

Not prime

The LCM of is the result of multiplying all prime factors the greatest number of times they occur in either number.

The factor for is itself.

occurs time.

The factor for is itself.

occurs time.

The LCM of is the result of multiplying all prime factors the greatest number of times they occur in either term.

Multiply by .

Multiply each term in by in order to remove all the denominators from the equation.

Cancel the common factor of .

Factor out of .

Cancel the common factor.

Rewrite the expression.

Simplify each term.

Cancel the common factor of .

Cancel the common factor.

Rewrite the expression.

Cancel the common factor of .

Factor out of .

Cancel the common factor.

Rewrite the expression.

Divide each term in by .

Cancel the common factor of .

Cancel the common factor.

Divide by .

Rewrite as a product.

Write as a fraction with denominator .

Simplify.

Divide by .

Convert from to .

Separate fractions.

Convert from to .

Divide by .

Simplify each term.

Rewrite in terms of sines and cosines.

Combine and .

Rewrite in terms of sines and cosines.

Combine and .

Combine the numerators over the common denominator.

Rewrite the equation as .

Multiply both sides of the equation by .

Remove parentheses.

Multiply by .

Subtract from both sides of the equation.

Divide each term in by .

Cancel the common factor of .

Cancel the common factor.

Divide by .

Move the negative in front of the fraction.

Since is on the right side of the equation, switch the sides so it is on the left side of the equation.

Separate fractions.

Rewrite as a product.

Write as a fraction with denominator .

Simplify.

Divide by .

Convert from to .

Divide by .

Rewrite as a product.

Write as a fraction with denominator .

Simplify.

Divide by .

Convert from to .

Simplify each term.

Rewrite in terms of sines and cosines.

Multiply .

Combine and .

Combine and .

Rewrite in terms of sines and cosines.

Combine and .

Combine the numerators over the common denominator.

Multiply both sides of the equation by .

Remove parentheses.

Multiply by .

Add to both sides of the equation.

Divide each term in by .

Cancel the common factor of .

Cancel the common factor.

Divide by .

Combine the numerators over the common denominator.

Rewrite the equation as .

Multiply both sides of the equation by .

Remove parentheses.

Multiply by .

Subtract from both sides of the equation.

Divide each term in by .

Cancel the common factor of .

Cancel the common factor.

Divide by .

Move the negative in front of the fraction.

Combine the numerators over the common denominator.

Rewrite the equation as .

Multiply both sides of the equation by .

Remove parentheses.

Multiply by .

Add to both sides of the equation.

Divide each term in by .

Cancel the common factor of .

Cancel the common factor.

Divide by .

Separate fractions.

Rewrite as a product.

Write as a fraction with denominator .

Simplify.

Divide by .

Convert from to .

Divide by .

Rewrite as a product.

Write as a fraction with denominator .

Simplify.

Divide by .

Convert from to .

Since is on the right side of the equation, switch the sides so it is on the left side of the equation.

Rewrite in terms of sines and cosines.

Multiply .

Combine and .

Combine and .

Rewrite in terms of sines and cosines.

Combine and .

Combine the numerators over the common denominator.

Multiply both sides of the equation by .

Remove parentheses.

Multiply by .

Subtract from both sides of the equation.

Divide each term in by .

Cancel the common factor of .

Cancel the common factor.

Divide by .

Move the negative in front of the fraction.

Since is on the right side of the equation, switch the sides so it is on the left side of the equation.

Separate fractions.

Rewrite as a product.

Write as a fraction with denominator .

Simplify.

Divide by .

Convert from to .

Divide by .

Rewrite as a product.

Write as a fraction with denominator .

Simplify.

Divide by .

Convert from to .

Simplify each term.

Rewrite in terms of sines and cosines.

Multiply .

Combine and .

Combine and .

Rewrite in terms of sines and cosines.

Combine and .

Combine the numerators over the common denominator.

Multiply both sides of the equation by .

Remove parentheses.

Multiply by .

Add to both sides of the equation.

Divide each term in by .

Cancel the common factor of .

Cancel the common factor.

Divide by .

Combine the numerators over the common denominator.

Rewrite the equation as .

Multiply both sides of the equation by .

Remove parentheses.

Multiply by .

Subtract from both sides of the equation.

Divide each term in by .

Cancel the common factor of .

Cancel the common factor.

Divide by .

Move the negative in front of the fraction.

Combine the numerators over the common denominator.

Rewrite the equation as .

Multiply both sides of the equation by .

Remove parentheses.

Multiply by .

Add to both sides of the equation.

Divide each term in by .

Cancel the common factor of .

Cancel the common factor.

Divide by .

Move all terms containing to the left side of the equation.

Subtract from both sides of the equation.

Subtract from both sides of the equation.

Simplify each term.

Separate fractions.

Rewrite as a product.

Write as a fraction with denominator .

Simplify.

Divide by .

Convert from to .

Divide by .

Rewrite as a product.

Write as a fraction with denominator .

Simplify.

Divide by .

Convert from to .

Simplify each term.

Rewrite in terms of sines and cosines.

Multiply .

Combine and .

Combine and .

Rewrite in terms of sines and cosines.

Combine and .

To write as a fraction with a common denominator, multiply by .

Write each expression with a common denominator of , by multiplying each by an appropriate factor of .

Combine.

Multiply by .

Combine the numerators over the common denominator.

Combine the numerators over the common denominator.

Multiply both sides of the equation by .

Remove parentheses.

Multiply by .

Add to both sides of the equation.

Add to both sides of the equation.

Divide each term in by .

Cancel the common factor of .

Cancel the common factor.

Divide by .

Combine the numerators over the common denominator.

Rewrite the equation as .

Multiply both sides of the equation by .

Remove parentheses.

Multiply by .

Subtract from both sides of the equation.

Divide each term in by .

Cancel the common factor of .

Cancel the common factor.

Divide by .

Move the negative in front of the fraction.

Solve for x tan(x)-tan(y)=(sin(x-y))/(cos(x)cos(y))