cosx pi/4
To determine the value of cos(x) at π/4, we can use the unit circle and the trigonometric ratios
To determine the value of cos(x) at π/4, we can use the unit circle and the trigonometric ratios.
The unit circle is a circle with a radius of 1, centered at the origin of a Cartesian coordinate system. The angle x is represented by a ray starting at the positive x-axis and rotating counter-clockwise.
At x = π/4, the ray forms an angle of π/4 radians with the positive x-axis, which is equivalent to 45 degrees. So, we want to find the value of cos(45°) or cos(π/4).
Using the unit circle, we need to find the cosine of the angle formed by the ray from the origin to the point on the circle where the ray intersects it.
At π/4, the ray intersects the unit circle at the point (1/√2, 1/√2), where both the x-coordinate and y-coordinate are equal to 1/√2.
Therefore, the value of cos(π/4) or cos(45°) is equal to 1/√2.
So, cos(x) = 1/√2 at x = π/4.
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