Determine All of the Solutions in the Interval $0 ^ { \circ } \leq \theta \leq 180 ^ { \circ }$

question 15

Multiple Choice

Determine all of the solutions in the interval $0 ^ { \circ } \leq \theta \leq 180 ^ { \circ }$ . $\tan 2 \theta = - \frac { \sqrt { 3 } } { 3 }$

• A) \(\theta \approx 75 ^ { \circ }\) , and \(\theta \approx 105 ^ { \circ }\)
• B) \(\theta \approx 195 ^ { \circ }\) , and \(\theta \approx 165 ^ { \circ }\)
• C) \(\theta \approx 75 ^ { \circ }\) , and \(\theta \approx 165 ^ { \circ }\)
• D) \(\theta \approx 15 ^ { \circ }\) , and \(\theta \approx 105 ^ { \circ }\)
• E) \(\theta \approx 150 ^ { \circ }\) , and \(\theta \approx 330 ^ { \circ }\)
• F) \[\theta \approx 195 ^ { \circ } \quad, and \quad \theta \approx 285 ^ { \circ }\]
• G) no solution.

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Definitions:

Perpetual Inventory Method

An accounting method that records goods and materials inventory after every addition or subtraction, providing a continuous record of inventory levels.

General Journal Entries

Account records in the general journal that detail financial transactions and their impact on accounts.

Perpetual Inventory Method

A continuous system of recording inventory transactions immediately as they occur, providing an up-to-date record of stock levels.

General Journal Entries

General journal entries are records of financial transactions in the general journal, making note of the debit and credit of each transaction according to accounting principles.