# Find the Exact Value sin(one hundred five)

Split into two angles where the values of the six trigonometric functions are known.

Apply the sum of angles identity.

The exact value of is .

The exact value of is .

The exact value of is .

The exact value of is .

Clarify each term.

First, multiply .

Multiply and .

First, multiply by .

Multiply .

Multiply and .

Add using the product rule for radicals.

Multiply by .

Multiply by .

Add numerators over the common denominator.

The result can be displayed in a variety of ways.

Exact Form:

Decimal Form:

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