sinx pi/4
To find the value of sin(pi/4), we can use the unit circle or the special angles in trigonometry
To find the value of sin(pi/4), we can use the unit circle or the special angles in trigonometry.
Using the unit circle:
By definition, sin(theta) represents the y-coordinate of a point on the unit circle that forms an angle theta with the positive x-axis.
For the angle pi/4 (45 degrees), we can draw a unit circle and locate the point that forms an angle of pi/4 with the positive x-axis. This point lies on the circle, making an angle of pi/4 with the positive x-axis, and its coordinates will be (cos(pi/4), sin(pi/4)) or (1/sqrt(2), 1/sqrt(2)).
So, sin(pi/4) = 1/sqrt(2) ≈ 0.707
Using special angles:
The angle pi/4 is one of the special angles in trigonometry.
For the special angles of pi/4, pi/6, and pi/3, the values of sin, cos, and tan are known.
For sin(pi/4), we use the special angle value sin(pi/4) = 1/sqrt(2) ≈ 0.707.
Therefore, sin(pi/4) is approximately equal to 0.707.
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