Trigonometry Examples

Find the Reference Angle (26pi)/3
Step 1
Find an angle that is positive, less than , and coterminal with .
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Step 1.1
Subtract from .
Step 1.2
The resulting angle of is positive, less than , and coterminal with .
Step 1.3
Subtract from .
Step 1.4
The resulting angle of is positive, less than , and coterminal with .
Step 1.5
Subtract from .
Step 1.6
The resulting angle of is positive, less than , and coterminal with .
Step 1.7
Subtract from .
Step 1.8
The resulting angle of is positive, less than , and coterminal with .
Step 2
Since the angle is in the second quadrant, subtract from .
Step 3
Simplify the result.
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Step 3.1
To write as a fraction with a common denominator, multiply by .
Step 3.2
Combine fractions.
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Step 3.2.1
Combine and .
Step 3.2.2
Combine the numerators over the common denominator.
Step 3.3
Simplify the numerator.
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Step 3.3.1
Move to the left of .
Step 3.3.2
Subtract from .