Trigonometry Examples

Find the Reference Angle (5pi)/3
5π3
Step 1
Since the angle 5π3 is in the fourth quadrant, subtract 5π3 from 2π.
2π-5π3
Step 2
Simplify the result.
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Step 2.1
To write 2π as a fraction with a common denominator, multiply by 33.
2π33-5π3
Step 2.2
Combine fractions.
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Step 2.2.1
Combine 2π and 33.
2π33-5π3
Step 2.2.2
Combine the numerators over the common denominator.
2π3-5π3
2π3-5π3
Step 2.3
Simplify the numerator.
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Step 2.3.1
Multiply 3 by 2.
6π-5π3
Step 2.3.2
Subtract 5π from 6π.
π3
π3
π3
5π3
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 [x2  12  π  xdx ]