Did I Simplify This Trigonometric Expression Correctly?

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Homework Help Overview

The discussion revolves around simplifying a trigonometric expression involving square roots and trigonometric identities, specifically focusing on the expression sqrt((tcost)^2+(-tsint)^2).

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to simplify the expression by applying the Pythagorean identity sin^2(t) + cos^2(t) and combining terms. Some participants question the correctness of this approach and suggest factoring before simplification.

Discussion Status

Participants are actively engaging in the discussion, with some providing feedback on the original poster's method. There is a suggestion to reconsider the steps taken, indicating a productive exploration of the problem.

Contextual Notes

There appears to be some ambiguity regarding the final expression, with discussions about whether the answer should be |t| instead of t, highlighting differing interpretations of the simplification.

jimbo71
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Homework Statement


sqrt((tcost)^2+(-tsint)^2


Homework Equations





The Attempt at a Solution


pulled out the sin^2t+cos^2t
added the two t^2
took the sqrt of
t*sqrt(2)
 
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No, it's not correct. Factor the inside of the sqrt before you start 'pulling things out'.
 
so is the answer simply t
 
jimbo71 said:
so is the answer simply t

Almost right. |t| actually.
 

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