What is the exact value of sin 240º?

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Homework Help Overview

The problem involves finding the exact value of the sine function for the angle 240º, which is situated in the context of trigonometric functions and their properties in different quadrants.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss expressing 240º as a sum or difference of known angles. There is an attempt to relate it to the sine of 60º and considerations of the angle's position in the second quadrant.

Discussion Status

The discussion is ongoing, with participants exploring different approaches to understand the relationship between the angle and known sine values. Some guidance has been offered regarding angle relationships, but there is no consensus yet.

Contextual Notes

There is a mention of the sine function's sign in different quadrants, particularly noting that sine is negative in the third and fourth quadrants, which may influence the understanding of the problem.

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Homework Statement


Find the exact value of each trig function:
Sin 240º


Homework Equations





The Attempt at a Solution


I am so lost here. I have no attempt. I am not asking you for the answer (i can't get answer without making an attempt which I don't have) i just need help. Please.
 
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Try to express 240 as sum or difference of angles for which you know the value of sinӨ like 360, 30, 60 etc.
 
Last edited:
so 240 is 60 degrees more than the 180 line of quadrant 2 so sin 60 = √3/2. is that right or am i totally off?
 
Corkery said:
so 240 is 60 degrees more than the 180 line of quadrant 2 so sin 60 = √3/2. is that right or am i totally off?
sin is -ve in 3rd and 4th quadrant
 

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