Trigonometry Examples

Convert to Rectangular theta=(11pi)/6
Step 1
Apply the formula .
Step 2
Solve for .
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Step 2.1
Multiply both sides by .
Step 2.2
Simplify.
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Step 2.2.1
Simplify the left side.
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Step 2.2.1.1
Cancel the common factor of .
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Step 2.2.1.1.1
Cancel the common factor.
Step 2.2.1.1.2
Rewrite the expression.
Step 2.2.2
Simplify the right side.
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Step 2.2.2.1
Simplify .
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Step 2.2.2.1.1
Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Make the expression negative because tangent is negative in the fourth quadrant.
Step 2.2.2.1.2
The exact value of is .
Step 2.2.2.1.3
Combine and .