Find the Exact Value of the Expression

question 67

Essay

Find the exact value of the expression. $\sin \left( \frac { \pi } { 6 } \right) \cos \left( \frac { \pi } { 3 } \right) + \sin \left( \frac { \pi } { 3 } \right) \cos \left( \frac { \pi } { 6 } \right)$

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Definitions:

Prisoner's Dilemma

A theoretical game in game theory showing why two rational individuals might not cooperate even if it appears that it is in their best interest to do so.

Reciprocity

A social exchange principle where the actions of one individual lead to a reciprocal action by another, often seen in cooperative behaviors amongst animals and humans.

Altruism

Selfless concern for the well-being of others, where individuals may act to benefit others even at a cost to themselves.

Kin Selection Theory

A theory in evolutionary biology that predicts organisms will behave altruistically towards their relatives to increase the chances of their genetic traits being passed on to future generations.