Finding the Value of sin(arctan(3)): Inverse Trig Functions Homework

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Homework Help Overview

The problem involves determining the value of sin(arctan(3)), which relates to inverse trigonometric functions and their properties. Participants are exploring how to approach this problem without prior knowledge of special triangles.

Discussion Character

  • Exploratory, Conceptual clarification, Problem interpretation

Approaches and Questions Raised

  • Some participants suggest defining A as arctan(3) to find sinA, while others propose using right-angled triangles to visualize the relationships between the trigonometric functions.

Discussion Status

The discussion is ongoing, with participants sharing their thoughts on how to relate the angle A to sine and tangent. There is no explicit consensus yet, but various interpretations and methods are being explored.

Contextual Notes

Participants express uncertainty about starting the problem and mention the absence of special triangles as a constraint in their reasoning.

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Homework Statement



Determine [tex]sin(arctan(3))[/tex]

The Attempt at a Solution



I do not know how to start this. No special triangles : (.
 
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You try putting A=tan-1(3)

in which you would need to determine sinA.
 
rock.freak667 said:
You try putting A=tan-1(3)

in which you would need to determine sinA.

ahhh so could I write [tex]sinA = \theta[/tex]?
 
Well I was thinking more along the lines of if A=arctan(3), then you can get tanA

and your problem was to find sin(arctan(3)) which becomes sin(A), which you can find by drawing suitable right angled triangles.
 

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