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

Expand Using Sum/Difference Formulas cos(345)
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 .
Clarify .
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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 .
Simplify .
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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 .
Clarify each term.
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First, multiply .
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Multiply and .
First, multiply by .
Multiply .
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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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