Find the Exact Value by Using a Half-Angle Identity $\cos x$

question 244

Multiple Choice

Find the exact value by using a half-angle identity.
-Write $\cos x$ in terms of $\cot x$ .

• A) \(\frac { \pm \sqrt { \cot ^ { 2 } x + 1 } } { \cot x }\)
• B) \(\frac { \pm \cot x \sqrt { \cot ^ { 2 } x + 1 } } { \cot ^ { 2 } x + 1 }\)
• C) \(\frac { \pm \sqrt { \cot ^ { 2 } x + 1 } } { \cot ^ { 2 } x + 1 }\)
• D) \(\pm \sqrt { \cot ^ { 2 } x + 1 }\)

---

Definitions:

Optimal Asset Allocation

The mix of assets that is expected to provide the highest return for a given level of risk or the lowest risk for a given level of expected return.

Security Selection

The process of choosing individual securities for investment in order to achieve the best possible return.

Keogh Plans

Retirement plans for self-employed individuals and unincorporated businesses, allowing for tax-deferred savings.

Taxable

Subject to taxation by governmental authority, referring to income or financial transactions that can be taxed.