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Trigonometry Examples
Step 1
Subtract from both sides of the equation.
Step 2
Step 2.1
Combine into one fraction.
Step 2.1.1
Write as a fraction with a common denominator.
Step 2.1.2
Combine the numerators over the common denominator.
Step 2.2
Simplify the numerator.
Step 2.2.1
Rewrite as .
Step 2.2.2
Since both terms are perfect squares, factor using the difference of squares formula, where and .
Step 2.2.3
Simplify.
Step 2.2.3.1
Subtract from .
Step 2.2.3.2
Apply the distributive property.
Step 2.2.3.3
Multiply by .
Step 2.2.3.4
Add and .
Step 2.3
Simplify with factoring out.
Step 2.3.1
Factor out of .
Step 2.3.2
Rewrite as .
Step 2.3.3
Factor out of .
Step 2.3.4
Simplify the expression.
Step 2.3.4.1
Rewrite as .
Step 2.3.4.2
Move the negative in front of the fraction.
Step 3
Multiply both sides of the equation by .
Step 4
Step 4.1
Simplify the left side.
Step 4.1.1
Cancel the common factor of .
Step 4.1.1.1
Cancel the common factor.
Step 4.1.1.2
Rewrite the expression.
Step 4.2
Simplify the right side.
Step 4.2.1
Simplify .
Step 4.2.1.1
Multiply .
Step 4.2.1.1.1
Multiply by .
Step 4.2.1.1.2
Combine and .
Step 4.2.1.2
Move the negative in front of the fraction.
Step 5
Take the specified root of both sides of the equation to eliminate the exponent on the left side.
Step 6
Step 6.1
Rewrite as .
Step 6.1.1
Factor the perfect power out of .
Step 6.1.2
Factor the perfect power out of .
Step 6.1.3
Rearrange the fraction .
Step 6.1.4
Reorder and .
Step 6.1.5
Add parentheses.
Step 6.1.6
Add parentheses.
Step 6.2
Pull terms out from under the radical.
Step 6.3
Combine and .
Step 7
Step 7.1
First, use the positive value of the to find the first solution.
Step 7.2
Subtract from both sides of the equation.
Step 7.3
Next, use the negative value of the to find the second solution.
Step 7.4
Subtract from both sides of the equation.
Step 7.5
The complete solution is the result of both the positive and negative portions of the solution.