Respuesta :
If we have an angle measuring 5π/4, that is an angle that terminates in quadrant III. Then the sine value of 5π/4 is negative since sine is negative in quadrants III and IV.
The only other quadrant we can be in to have the same sine value is quadrant IV; that's the only other place sine can be negative.
In fact, the other angle can possibly be 7π/4 via the unit circle. That's a quadrant IV angle.
Therefore, quadrant IV is the answer.
The only other quadrant we can be in to have the same sine value is quadrant IV; that's the only other place sine can be negative.
In fact, the other angle can possibly be 7π/4 via the unit circle. That's a quadrant IV angle.
Therefore, quadrant IV is the answer.
The value of the angle that shares the same sine value of an angle that measures 5pi/4 radians is located where in the Quadrant IV.
What are the quadrants?
The quadrants are the region bounded between the x-axis and the y-axis.
Given to us
An angle that shares the same sine value as an angle that measures 5pi/4 radians.
We know that the value [tex]Sin(\frac{5\pi}{4})[/tex] is negative and, the angle lies in the third quadrat.
Let the angle that is needed be θ.
[tex]Sin(\frac{5\pi}{4}) = Sin(\theta)\\\\\\\theta = -\dfrac{\pi}{4}[/tex]
As the value of θ is negative(π/4), therefore, the angle is measured from the positive x-axis, and it lies in the fourth quadrant.
Hence, the value of the angle that shares the same sine value of an angle that measures 5pi/4 radians is located where in the Quadrant IV.
Learn more about Quadrant:
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