The problem involves using trigonometric identities to demonstrate that cos(tan^(-1)[x]) equals 1/√(1+x^2) for the specified range of x. The context is rooted in trigonometric functions and their relationships.
The discussion is ongoing, with participants exploring different angles of approach. Some have provided geometric interpretations while others are considering the use of trigonometric identities. No consensus has been reached yet.
There is a repeated emphasis on the application of Pythagorean principles and the geometric interpretation of the trigonometric functions involved. The range of x is specified, which may influence the approach taken.
ivan_x3000 said:Homework Statement
use trig identities to show that
(b) cos(tan^(−1)[x])=1/√(1+x^2) for −1/2π<x<1/2π.
Homework Equations
i think Pythagoras has to applied but that is geometric reasoning hmm
The Attempt at a Solution
ivan_x3000 said:Homework Statement
use trig identities to show that
(b) cos(tan^(−1)[x])=1/√(1+x^2) for −1/2π<x<1/2π.
Homework Equations
i think Pythagoras has to applied but that is geometric reasoning hmm
The Attempt at a Solution