If k is 2, the angle is 90° + 180°(2) = 450°, which is equivalent to 90° in standard position. Connecting Cosine Zero to Sine Extremes The points where cosine is zero represent the maximum and minimum values of the sine function.
Where Cosine Equals Zero on the Unit Circle Graph
The Primary Angles Where Cosine Equals Zero Within the standard range of 0 to 360 degrees, or 0 to 2π radians, cosine equals zero at exactly two angles. This condition occurs whenever the terminal side of an angle lies perfectly on the y-axis, meaning the adjacent side of the triangle effectively has no length.
Similarly, if k is -1, the angle is 90° + 180°(-1) = -90°, which is coterminal with 270°. Practical Applications of This Knowledge Identifying when cosine is zero is essential in various scientific and engineering fields.
Where Cosine Equals Zero on the Unit Circle Graph
If k is 1, the angle is 90° + 180°(1) = 270°. These are 90 degrees (π/2 radians) and 270 degrees (3π/2 radians).
More About When is cosine 0
Looking at When is cosine 0 from another angle can help expand the discussion and give readers a second clear paragraph under the same section.
More perspective on When is cosine 0 can make the topic easier to follow by connecting earlier points with a few simple takeaways.
