Write the Given Expression in Terms of X and Y $\cos \left( \tan ^ { - 1 } y - \sin ^ { - 1 } x \right)$

question 46

Essay

Write the given expression in terms of x and y only. $\cos \left( \tan ^ { - 1 } y - \sin ^ { - 1 } x \right)$

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Definitions:

Australopithecine

A genus of hominins from which modern humans are believed to have evolved, known for bipedal locomotion and relatively small brains.

Homo Habilis

"Handy human." The first fossil members of the genus Homo appearing 2.5 million years ago, with larger brains and smaller faces than australopithecines.

Homo Habilis

An extinct species of early human believed to have lived around 2.1 to 1.5 million years ago, known for using stone tools.

Brain Size

A measure of brain volume or mass that is often related to cognitive abilities, evolutionary adaptations, and species comparisons.