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

question 298

Essay

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

---

Definitions:

System II

A term often used to describe slow, deliberate, and analytical thought processes in dual-process theories of cognition.

System I

Often referred to as "System 1," it is the fast, automatic, intuitive approach of the human brain to decision-making.

System II

Refers traditionally to the analytical, controlled, and effortful mode of thinking, as contrasted with the fast, automatic, intuitive processing of System I.

System I

A term often used in behavioral economics to describe the fast, instinctive, and emotional way of thinking, as opposed to slower, more deliberative thinking.