Trigonometry Examples

Simplify square root of (1-cos(330))/2
Step 1
Apply the reference angle by finding the angle with equivalent trig values in the first quadrant.
Step 2
The exact value of is .
Step 3
Simplify the numerator.
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Step 3.1
Write as a fraction with a common denominator.
Step 3.2
Combine the numerators over the common denominator.
Step 4
Multiply the numerator by the reciprocal of the denominator.
Step 5
Multiply .
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Step 5.1
Multiply by .
Step 5.2
Multiply by .
Step 6
Rewrite as .
Step 7
Simplify the denominator.
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Step 7.1
Rewrite as .
Step 7.2
Pull terms out from under the radical, assuming positive real numbers.
Step 8
The result can be shown in multiple forms.
Exact Form:
Decimal Form: