Precalculus Examples

Convert to Rectangular 6(cos(210 degrees )+isin(210 degrees ))
Step 1
Simplify each term.
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Step 1.1
Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Make the expression negative because cosine is negative in the third quadrant.
Step 1.2
The exact value of is .
Step 1.3
Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Make the expression negative because sine is negative in the third quadrant.
Step 1.4
The exact value of is .
Step 1.5
Combine and .
Step 2
Simplify terms.
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Step 2.1
Apply the distributive property.
Step 2.2
Cancel the common factor of .
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Step 2.2.1
Move the leading negative in into the numerator.
Step 2.2.2
Factor out of .
Step 2.2.3
Cancel the common factor.
Step 2.2.4
Rewrite the expression.
Step 2.3
Multiply by .
Step 2.4
Cancel the common factor of .
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Step 2.4.1
Move the leading negative in into the numerator.
Step 2.4.2
Factor out of .
Step 2.4.3
Cancel the common factor.
Step 2.4.4
Rewrite the expression.
Step 2.5
Multiply by .