Drawing a right triangle to simply the given expressions

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Homework Help Overview

The discussion revolves around evaluating trigonometric expressions involving inverse functions, specifically focusing on expressions like Cos(Tan^-1(x)) and Sin(sec^-1(sqrt(x^2+16)/4)). Participants are exploring how to utilize right triangles to simplify these expressions.

Discussion Character

  • Exploratory, Conceptual clarification, Problem interpretation

Approaches and Questions Raised

  • Some participants express uncertainty about how drawing a right triangle aids in solving the problem. Others suggest constructing a triangle based on the tangent function to find the hypotenuse. A new question arises regarding a different expression, with a participant noting a discrepancy between their result and the book's answer.

Discussion Status

The discussion is ongoing, with participants sharing their thoughts and attempts. Some guidance has been offered regarding the use of right triangles, but there is no explicit consensus on the methods or outcomes. The introduction of a new problem indicates a desire for further exploration.

Contextual Notes

One participant mentions a concern about spamming the forum by starting a new thread for a different problem, indicating a potential constraint on how discussions are organized.

Johnyi
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Homework Statement



Cos(Tan^-1(x))

Homework Equations


The Attempt at a Solution


Dont know how drawing a right triangle would do anything, don't know what to plug in.
 
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Johnyi said:

Homework Statement



Cos(Tan^-1(x))

Homework Equations


The Attempt at a Solution


Dont know how drawing a right triangle would do anything, don't know what to plug in.

Draw a triangle with an angle whose tangent is x. Any one. For example, opposite side equals x and adjacent side equals 1. Then find the hypotenuse using the pythagorean theorem.
 
Have another question for a whole new problem...did not want to start a new thread because i felt some people would think i would be spamming.
1. Homework Statement
Sin(sec^-1(sqrt(x^2+16)/4))

2. Homework Equations
3. The Attempt at a Solution
I did the math and ended up getting x^2-1 as the opposite, but the answers on the back of the book say other wise.
 
Bump!
 
This was answered in the "Precalculus homework" section.
 

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