Verify the Identity $( \sin x + \cos x ) ^ { 2 } = 1 + \sin 2 x$

question 103

Essay

Verify the identity. $( \sin x + \cos x ) ^ { 2 } = 1 + \sin 2 x$

---

Definitions:

Similarity

The cognitive process of recognizing objects or ideas that are alike in appearance or concept.

Texture Gradient

This visual cue indicates depth by the gradual change in appearance of objects as they move further away, with details becoming denser and finer the farther they are from the viewer.

Relative Size

A perceptual cue that allows the determination of the size of an object in comparison to another object of known size.

Interposition

A visual cue in which an object that blocks part of another object is perceived as being closer to the observer.