Find the Exact Value sin(22.5 degrees )

Math
Rewrite as an angle where the values of the six trigonometric functions are known divided by .
Apply the sine halfangle identity.
Change the to because sine is positive in the first quadrant.
The exact value of is .
Simplify .
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To write as a fraction with a common denominator, multiply by .
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
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Combine.
Multiply by .
Combine the numerators over the common denominator.
Multiply by .
Multiply the numerator by the reciprocal of the denominator.
Multiply .
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Multiply and .
Multiply by .
Rewrite as .
Simplify the denominator.
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Rewrite as .
Pull terms out from under the radical, assuming positive real numbers.
The result can be shown in multiple forms.
Exact Form:
Decimal Form:
Find the Exact Value sin(22.5 degrees )

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