Trigonometry Examples

Find the Equation Given the Roots -125i
Step 1
Roots are the points where the graph intercepts with the x-axis .
at the roots
Step 2
The root at was found by solving for when and .
The factor is
Step 3
The root at was found by solving for when and .
The factor is
Step 4
Combine all the factors into a single equation.
Step 5
Multiply all the factors to simplify the equation .
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Step 5.1
Expand using the FOIL Method.
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Step 5.1.1
Apply the distributive property.
Step 5.1.2
Apply the distributive property.
Step 5.1.3
Apply the distributive property.
Step 5.2
Simplify terms.
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Step 5.2.1
Combine the opposite terms in .
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Step 5.2.1.1
Reorder the factors in the terms and .
Step 5.2.1.2
Add and .
Step 5.2.1.3
Add and .
Step 5.2.2
Simplify each term.
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Step 5.2.2.1
Multiply by .
Step 5.2.2.2
Multiply .
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Step 5.2.2.2.1
Multiply by .
Step 5.2.2.2.2
Raise to the power of .
Step 5.2.2.2.3
Raise to the power of .
Step 5.2.2.2.4
Use the power rule to combine exponents.
Step 5.2.2.2.5
Add and .
Step 5.2.2.3
Rewrite as .
Step 5.2.2.4
Multiply by .
Step 6