Determine All Solutions of the Equation in Radians $\cos \frac { \theta } { 2 }$

question 91

Multiple Choice

Determine all solutions of the equation in radians.
-Find $\cos \frac { \theta } { 2 }$ , given that $\sin \theta = \frac { 1 } { 4 }$ and $\theta$ terminates in $0 < \theta < 90 ^ { \circ }$ .

• A) \(\frac { \sqrt { 8 + 2 \sqrt { 15 } } } { 4 }\)
• B) \(\frac { \sqrt { 10 } } { 4 }\)
• C) \(\frac { \sqrt { 8 - 2 \sqrt { 15 } } } { 4 }\)
• D) \(\frac { \sqrt { 6 } } { 4 }\)

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Definitions:

Variable Costs

Costs that change in proportion to the level of activity or production volume, such as materials and labor directly involved in production.

Fixed Expenses

Expenses that remain constant regardless of any variations in the amount of goods produced or the volume of sales, like lease payments, wages, and insurance fees.

Break-even Point

The point at which total costs equal total revenue, meaning no profit or loss is made.

Contribution Margin Ratio

The percentage of each sales dollar remaining after variable costs have been deducted.