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Trigonometry Examples
Step 1
Step 1.1
Simplify .
Step 1.1.1
Expand using the FOIL Method.
Step 1.1.1.1
Apply the distributive property.
Step 1.1.1.2
Apply the distributive property.
Step 1.1.1.3
Apply the distributive property.
Step 1.1.2
Simplify each term.
Step 1.1.2.1
Multiply by .
Step 1.1.2.2
Rewrite using the commutative property of multiplication.
Step 1.1.2.3
Rewrite using the commutative property of multiplication.
Step 1.1.2.4
Multiply by .
Step 1.1.2.5
Multiply by .
Step 1.2
Subtract from both sides of the equation.
Step 1.3
Use the quadratic formula to find the solutions.
Step 1.4
Substitute the values , , and into the quadratic formula and solve for .
Step 1.5
Simplify.
Step 1.5.1
Simplify the numerator.
Step 1.5.1.1
Apply the distributive property.
Step 1.5.1.2
Multiply .
Step 1.5.1.2.1
Multiply by .
Step 1.5.1.2.2
Multiply by .
Step 1.5.1.3
Multiply .
Step 1.5.1.3.1
Multiply by .
Step 1.5.1.3.2
Multiply by .
Step 1.5.1.4
Rewrite as .
Step 1.5.1.5
Expand using the FOIL Method.
Step 1.5.1.5.1
Apply the distributive property.
Step 1.5.1.5.2
Apply the distributive property.
Step 1.5.1.5.3
Apply the distributive property.
Step 1.5.1.6
Simplify and combine like terms.
Step 1.5.1.6.1
Simplify each term.
Step 1.5.1.6.1.1
Rewrite using the commutative property of multiplication.
Step 1.5.1.6.1.2
Multiply by by adding the exponents.
Step 1.5.1.6.1.2.1
Move .
Step 1.5.1.6.1.2.2
Multiply by .
Step 1.5.1.6.1.3
Multiply by .
Step 1.5.1.6.1.4
Multiply by .
Step 1.5.1.6.1.5
Rewrite using the commutative property of multiplication.
Step 1.5.1.6.1.6
Multiply by .
Step 1.5.1.6.1.7
Multiply by .
Step 1.5.1.6.1.8
Rewrite using the commutative property of multiplication.
Step 1.5.1.6.1.9
Multiply by .
Step 1.5.1.6.1.10
Multiply by .
Step 1.5.1.6.1.11
Rewrite using the commutative property of multiplication.
Step 1.5.1.6.1.12
Multiply by by adding the exponents.
Step 1.5.1.6.1.12.1
Move .
Step 1.5.1.6.1.12.2
Multiply by .
Step 1.5.1.6.1.13
Multiply by .
Step 1.5.1.6.1.14
Multiply by .
Step 1.5.1.6.2
Add and .
Step 1.5.1.6.2.1
Reorder and .
Step 1.5.1.6.2.2
Add and .
Step 1.5.1.7
Multiply by .
Step 1.5.1.8
Apply the distributive property.
Step 1.5.1.9
Multiply by .
Step 1.5.1.10
Subtract from .
Step 1.5.2
Multiply by .
Step 1.6
Simplify the expression to solve for the portion of the .
Step 1.6.1
Simplify the numerator.
Step 1.6.1.1
Apply the distributive property.
Step 1.6.1.2
Multiply .
Step 1.6.1.2.1
Multiply by .
Step 1.6.1.2.2
Multiply by .
Step 1.6.1.3
Multiply .
Step 1.6.1.3.1
Multiply by .
Step 1.6.1.3.2
Multiply by .
Step 1.6.1.4
Rewrite as .
Step 1.6.1.5
Expand using the FOIL Method.
Step 1.6.1.5.1
Apply the distributive property.
Step 1.6.1.5.2
Apply the distributive property.
Step 1.6.1.5.3
Apply the distributive property.
Step 1.6.1.6
Simplify and combine like terms.
Step 1.6.1.6.1
Simplify each term.
Step 1.6.1.6.1.1
Rewrite using the commutative property of multiplication.
Step 1.6.1.6.1.2
Multiply by by adding the exponents.
Step 1.6.1.6.1.2.1
Move .
Step 1.6.1.6.1.2.2
Multiply by .
Step 1.6.1.6.1.3
Multiply by .
Step 1.6.1.6.1.4
Multiply by .
Step 1.6.1.6.1.5
Rewrite using the commutative property of multiplication.
Step 1.6.1.6.1.6
Multiply by .
Step 1.6.1.6.1.7
Multiply by .
Step 1.6.1.6.1.8
Rewrite using the commutative property of multiplication.
Step 1.6.1.6.1.9
Multiply by .
Step 1.6.1.6.1.10
Multiply by .
Step 1.6.1.6.1.11
Rewrite using the commutative property of multiplication.
Step 1.6.1.6.1.12
Multiply by by adding the exponents.
Step 1.6.1.6.1.12.1
Move .
Step 1.6.1.6.1.12.2
Multiply by .
Step 1.6.1.6.1.13
Multiply by .
Step 1.6.1.6.1.14
Multiply by .
Step 1.6.1.6.2
Add and .
Step 1.6.1.6.2.1
Reorder and .
Step 1.6.1.6.2.2
Add and .
Step 1.6.1.7
Multiply by .
Step 1.6.1.8
Apply the distributive property.
Step 1.6.1.9
Multiply by .
Step 1.6.1.10
Subtract from .
Step 1.6.2
Multiply by .
Step 1.6.3
Change the to .
Step 1.7
Simplify the expression to solve for the portion of the .
Step 1.7.1
Simplify the numerator.
Step 1.7.1.1
Apply the distributive property.
Step 1.7.1.2
Multiply .
Step 1.7.1.2.1
Multiply by .
Step 1.7.1.2.2
Multiply by .
Step 1.7.1.3
Multiply .
Step 1.7.1.3.1
Multiply by .
Step 1.7.1.3.2
Multiply by .
Step 1.7.1.4
Rewrite as .
Step 1.7.1.5
Expand using the FOIL Method.
Step 1.7.1.5.1
Apply the distributive property.
Step 1.7.1.5.2
Apply the distributive property.
Step 1.7.1.5.3
Apply the distributive property.
Step 1.7.1.6
Simplify and combine like terms.
Step 1.7.1.6.1
Simplify each term.
Step 1.7.1.6.1.1
Rewrite using the commutative property of multiplication.
Step 1.7.1.6.1.2
Multiply by by adding the exponents.
Step 1.7.1.6.1.2.1
Move .
Step 1.7.1.6.1.2.2
Multiply by .
Step 1.7.1.6.1.3
Multiply by .
Step 1.7.1.6.1.4
Multiply by .
Step 1.7.1.6.1.5
Rewrite using the commutative property of multiplication.
Step 1.7.1.6.1.6
Multiply by .
Step 1.7.1.6.1.7
Multiply by .
Step 1.7.1.6.1.8
Rewrite using the commutative property of multiplication.
Step 1.7.1.6.1.9
Multiply by .
Step 1.7.1.6.1.10
Multiply by .
Step 1.7.1.6.1.11
Rewrite using the commutative property of multiplication.
Step 1.7.1.6.1.12
Multiply by by adding the exponents.
Step 1.7.1.6.1.12.1
Move .
Step 1.7.1.6.1.12.2
Multiply by .
Step 1.7.1.6.1.13
Multiply by .
Step 1.7.1.6.1.14
Multiply by .
Step 1.7.1.6.2
Add and .
Step 1.7.1.6.2.1
Reorder and .
Step 1.7.1.6.2.2
Add and .
Step 1.7.1.7
Multiply by .
Step 1.7.1.8
Apply the distributive property.
Step 1.7.1.9
Multiply by .
Step 1.7.1.10
Subtract from .
Step 1.7.2
Multiply by .
Step 1.7.3
Change the to .
Step 1.8
The final answer is the combination of both solutions.
Step 2
A linear equation is an equation of a straight line, which means that the degree of a linear equation must be or for each of its variables. In this case, the degrees of the variables in the equation violate the linear equation definition, which means that the equation is not a linear equation.
Not Linear