B Is sin(3.6) Negative in Quadrant III?

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Sin(3.6) is negative because 3.6 is measured in radians, placing it in the third quadrant of the unit circle where sine values are negative. While angles between -90° and 90° yield positive sine values, 3.6 radians exceeds 90°, leading to confusion. The discussion clarifies that since 3.6 radians falls between π and 3π/2, it indeed results in a negative sine value. Understanding the distinction between degrees and radians is crucial for interpreting sine values correctly. Thus, sin(3.6) is negative due to its position in the third quadrant.
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Why is sin(3.6) Negative? Why is sin(3.6) negative? It makes no sense. It should be positive between -90 and 90 degrees.
 
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It makes sense if 3.6 is in radian.
 
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Chadi B Ghaith said:
Why is sin(3.6) NEGATIVE? Why is sin(3.6) negative? It makes no sense. It should be positive between -90 and 90 degrees.
sin(3.6°) > -0, but 3.6 by itself is considered to be in radian measure.

Also,if x is between -90° and 0°, sin(x) is negative.
 
Mark44 said:
sin(3.6°) > -0, but 3.6 by itself is considered to be in radian measure.

Also,if x is between -90° and 0°, sin(x) is negative.

Thank you Mark44.
 
Because, π<3.6<3π/2 ... 3.6 radians lies in quadrant III where sine values are negative.
 

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