Solving for X: Simplified Sin(60-x)=2sinx Equation

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Homework Help Overview

The problem involves solving the equation sin(60-x) = 2sin(x), which falls under the subject area of trigonometry. The original poster expresses uncertainty about how to approach the problem.

Discussion Character

  • Exploratory, Mathematical reasoning

Approaches and Questions Raised

  • One participant suggests expanding the sine function on the left-hand side using a multiple angle formula, while the original poster later recalls the identity sin(x-y) = sin(x)cos(y) - sin(y)cos(x).

Discussion Status

The discussion has seen some productive exchanges, with guidance offered on expanding the sine function. The original poster has indicated a realization regarding the use of trigonometric identities, although there is no explicit consensus on the next steps or final resolution.

Contextual Notes

The original poster's initial lack of direction highlights the challenges often faced in trigonometric problem-solving, and the discussion reflects a common scenario in homework help contexts.

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[SOLVED] Solving for X help

Homework Statement


sin(60-x)=2sinx need to find x


i have no idea on how to solve it.
 
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Well the first thing I would do would be to expand the sine function on the left hand side using the multiple angle formula.
 
thanks i figured it out. i forgot that sin(x-y)=sinxcosy-sinycosx
 
You're welcome.
 

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