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Trigonometry Examples
Step 1
Multiply the equation by .
Step 2
Step 2.1
Apply the distributive property.
Step 3
Step 3.1
Simplify .
Step 3.1.1
Simplify the denominator.
Step 3.1.1.1
Rewrite as .
Step 3.1.1.2
Since both terms are perfect squares, factor using the difference of squares formula, where and .
Step 3.1.2
Multiply by .
Step 3.1.3
Simplify the numerator.
Step 3.1.3.1
Rewrite as .
Step 3.1.3.2
Since both terms are perfect squares, factor using the difference of squares formula, where and .
Step 3.1.4
Reduce the expression by cancelling the common factors.
Step 3.1.4.1
Cancel the common factor of .
Step 3.1.4.1.1
Cancel the common factor.
Step 3.1.4.1.2
Rewrite the expression.
Step 3.1.4.2
Cancel the common factor of .
Step 3.1.4.2.1
Cancel the common factor.
Step 3.1.4.2.2
Divide by .
Step 4
Step 4.1
Subtract from both sides of the equation.
Step 4.2
Use the quadratic formula to find the solutions.
Step 4.3
Substitute the values , , and into the quadratic formula and solve for .
Step 4.4
Simplify the numerator.
Step 4.4.1
Raise to the power of .
Step 4.4.2
Rewrite using the commutative property of multiplication.
Step 4.4.3
Multiply by by adding the exponents.
Step 4.4.3.1
Move .
Step 4.4.3.2
Multiply by .
Step 4.4.4
Multiply by .
Step 4.5
The final answer is the combination of both solutions.