5pi/7 what quadrant is it in???
you should know that
between 0 and (1/2)π is quad I (between 0 and 90°)
between (1/2)π and 1 π is quad II (between 90 and 180°)
etc.
isn't (5/7) greater than 1/2 but less than 1 ?
To determine the quadrant of an angle, you need to look at the sign of the trigonometric functions sine and cosine.
In this case, the angle is 5π/7. To find the quadrant, we can examine the signs of the sine and cosine values.
First, let's find the values of sine and cosine for 5π/7:
sin(5π/7) = (-√(1 - cos^2(5π/7))
cos(5π/7) = (-√(1 - sin^2(5π/7))
Since both sine and cosine are negative in the third quadrant and positive in the second quadrant, we need to determine the larger of the absolute values.
Comparing the absolute values of sine and cosine, we see that sin(5π/7) has a larger absolute value than cos(5π/7).
Therefore, we can conclude that the angle 5π/7 is in the third quadrant.