Trigonometry Examples

Find the Reference Angle (5pi)/6
5π6
Step 1
Since the angle 5π6 is in the second quadrant, subtract 5π6 from π.
π-5π6
Step 2
Simplify the result.
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Step 2.1
To write π as a fraction with a common denominator, multiply by 66.
π66-5π6
Step 2.2
Combine fractions.
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Step 2.2.1
Combine π and 66.
π66-5π6
Step 2.2.2
Combine the numerators over the common denominator.
π6-5π6
π6-5π6
Step 2.3
Simplify the numerator.
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Step 2.3.1
Move 6 to the left of π.
6π-5π6
Step 2.3.2
Subtract 5π from 6π.
π6
π6
π6
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 [x2  12  π  xdx ]