Find the Equation of the Tangent Line to the Graph $\left( \frac { \pi } { 4 } , 1 \right)$

question 9

Multiple Choice

Find the equation of the tangent line to the graph of f(x) = tan x at $\left( \frac { \pi } { 4 } , 1 \right)$ .

• A) y = 2x + 1 - \(\frac { \pi } { 2 }\)
• B) y = 2x - \(\frac { \pi } { 2 }\)
• C) y = 2x - 1
• D) y = 2x + \(\frac { \pi } { 2 }\)
• E) none of these

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Definitions:

Kant's Two Worlds

Refers to Immanuel Kant's distinction between the phenomenal world (which we can know through senses) and the noumenal world (the thing in itself, which we cannot directly know).

World of Nature

The physical universe and all its natural processes and phenomena, excluding human creations and interventions.

World of Actions

A concept referring to the realm or domain where human actions take place, influenced by decisions, morals, and societal norms.

Western Metaphysical Viewpoints

A series of philosophical perspectives originating from the Western tradition, focusing on the nature of reality, existence, and the fundamental characteristics of the universe.