Trigonometry Examples

Find the Exact Value 2sin((2pi)/3)cos((2pi)/3)
Step 1
Apply the sine double-angle identity.
Step 2
Multiply .
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Step 2.1
Combine and .
Step 2.2
Multiply by .
Step 3
Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Make the expression negative because sine is negative in the third quadrant.
Step 4
The exact value of is .
Step 5
The result can be shown in multiple forms.
Exact Form:
Decimal Form: