Find $\sin \theta$ And $\cos \theta$ , Where $\theta$ Is the (Acute) Angle of Rotation That Eliminates The

question 16

Multiple Choice

Find $\sin \theta$ and $\cos \theta$ , where $\theta$ is the (acute) angle of rotation that eliminates the $x ^ { \prime } y ^ { \prime }$ -term. Note: You are not asked to graph the equation. $175 x y - 600 y ^ { 2 } - 1 = 0$

• A) \(\sin \theta = \frac { 4 } { 5 }\) \(\cos \theta = \frac { 3 } { 5 }\)
• B) \(\sin \theta = \frac { 7 \sqrt { 2 } } { 5 }\) \(\cos \theta = \frac { \sqrt { 2 } } { 5 }\)
• C) \(\sin \theta = \frac { 3 } { 5 }\) \(\cos \theta = \frac { 4 } { 5 }\)
• D) \(\sin \theta = \frac { \sqrt { 2 } } { 10 }\) \(\cos \theta = \frac { 7 \sqrt { 2 } } { 10 }\)
• E) \(\sin \theta = \frac { \sqrt { 2 } } { 2 }\) \(\cos \theta = \frac { \sqrt { 2 } } { 2 }\)

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Definitions:

FIFO

First In, First Out, an inventory valuation method where goods purchased or produced first are sold or consumed first.

Average Cost Method

An inventory costing method that determines the cost of goods sold and ending inventory based on the weighted average cost of all items available for sale.

Gross Profit

calculates as the difference between revenue and the cost of goods sold, indicating how efficiently a company uses its resources to produce goods.

Ending Inventory

The total value of all inventory, including goods in various stages of production, available at the end of an accounting period.