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
Using trig identities means manipulating and rearranging trigonometric expressions using known identities to prove or show that a given statement or equation is true.
Trig identities are essential in simplifying and solving complex trigonometric equations, which are often encountered in physics, engineering, and other scientific fields. They also aid in proving mathematical statements and establishing relationships between different trigonometric functions.
Some of the most frequently used trig identities include the Pythagorean identities, double angle formulas, sum and difference identities, and the reciprocal, quotient, and co-function identities.
Knowing which trig identity to use comes with practice and familiarity with the different identities. It is also helpful to understand the structure and properties of trigonometric functions and how they relate to each other.
Yes, you can create your own trig identities by manipulating and combining existing identities. However, it is important to check the validity and accuracy of your new identity by using it to solve equations or proving statements.