# Expand Using Sum divide Difference Formulas cos(three hundred forty minus five)

First, split the angle into two angles where the values of the six trigonometric functions are known. In such a case, can be split into .

Use the sum formula for cosine to Clarify the expression. The formula states that .

The exact value of is .

Use the reference angle by calculating the angle with equivalent triginometric values in the Initially quadrant.

The exact value of is .

The exact value of is .

Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Should be rewritten the expression as a negative one since sine is negative in the 2nd quadrant.

The exact value of is .

First, multiply .

Multiply and .

First, multiply by .

Multiply .

Multiply by .

Multiply by .

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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