Find the Exact Value of the Given Expression $$\sin 105 ^ { \circ } \cos 345 ^ { \circ } - \sin 345 ^ { \circ } \cos 105 ^ { \circ }$$

question 47

Multiple Choice

Find the exact value of the given expression. $$\sin 105 ^ { \circ } \cos 345 ^ { \circ } - \sin 345 ^ { \circ } \cos 105 ^ { \circ }$$

• A) \(\frac { 1 } { 2 }\)
• B) \(\frac { ( - \sqrt { 3 } + 1 ) ( 2 \sqrt { 2 } ) } { 8 }\)
• C) \(\frac { ( - \sqrt { 3 } - 1 ) ( 2 \sqrt { 2 } ) } { 8 }\)
• D) \(\frac { \sqrt { 2 } } { 2 }\)
• E) \(\frac { \sqrt { 3 } } { 2 }\)

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Definitions:

Depreciation Method

A methodical strategy for distributing the expense of a physical asset across its lifespan.

Straight-Line

A method of allocating an asset's cost evenly over its useful life for purposes of depreciation.

Contra Asset Account

An account on a balance sheet that reduces the value of an associated asset account, such as accumulated depreciation.

Accumulated Depreciation

Accumulated depreciation is the total amount of depreciation expense that has been recorded for an asset, representing how much of its value has been depleted over time.