Trigonometry Examples

Find the Equation Given the Roots -4i
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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Expand using the FOIL Method.
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Apply the distributive property.
Apply the distributive property.
Apply the distributive property.
Simplify terms.
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Combine the opposite terms in .
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Reorder the factors in the terms and .
Add and .
Add and .
Simplify each term.
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Multiply by .
Multiply .
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Multiply by .
Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.
Add and .
Rewrite as .
Multiply by .
Step 6
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