Use the Appropriate Identity to Find the Indicated Function Value $\tan \theta$

question 281

Multiple Choice

Use the appropriate identity to find the indicated function value. Rationalize the denominator, if applicable. If the given
value is a decimal, round your answer to three decimal places.
- $\tan \theta$ , given that $\cot \theta = - \frac { 2 } { 3 }$

• A) \(- \frac { 3 } { 2 }\)
• B) \(- \frac { 2 } { 3 }\)
• C) \(\frac { 3 } { 2 }\)
• D) \(\frac { 5 } { 3 }\)

---

Definitions:

Substantial Performance

A legal concept where a party has completed a majority of their obligations under a contract, warranting payment with possible deductions for uncompleted work.

Contract

A legally binding agreement between two or more parties that is enforceable by law.

Defective

Referring to a product or item that is flawed, damaged, or fails to meet quality standards.

Nonconforming Goods

Items delivered under a sale contract that fail to match the quality, specification, or conditions as agreed upon by the buyer and seller.