Establish the Identity $$\sin \left( \frac { \pi } { 4 } + x \right) = \sqrt { 2 } ( \cos x + \sin x )$$

question 128

Essay

Establish the identity.
- $$\sin \left( \frac { \pi } { 4 } + x \right) = \sqrt { 2 } ( \cos x + \sin x )$$

Describe the importance and mechanisms of reward allocation norms in organizational and group settings.

Understand the concept of behavioral economics, including self-interest and altruism.

Describe the nature and outcomes of the dictator and ultimatum games in illustrating human behavior.

Recognize the impact of fairness and moral considerations on economic decision-making.

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Definitions:

Crossover Rate

The rate at which two different projects achieve the same net present value, often used in capital budgeting.

Capital Budgeting

The process by which a business evaluates and selects long-term investments that are worth more than their cost, considering the potential for profitability and risk.

Corporate Finance

The division of finance that deals with financing, capital structuring, and investment decisions in corporations.

Optimal Choice

The best possible selection among various alternatives based on certain criteria or constraints.