The x-coordinate of this point represents the cosine, and the secant value is determined by the length of the segment that extends from the origin to the intersection of the terminal arm and the vertical tangent line at (1,0). The Mathematical Significance of 135 Degrees Mathematically, sec 135 degrees is not an isolated value but a direct consequence of the angle's reference angle.
Sec 135 Degrees Trig Function Value and Its Exact Numerical Result
Taking the reciprocal of this fraction results in the exact value of -√2. Understanding sec 135 degrees requires looking at its position within the Cartesian coordinate system, where it resides in the second quadrant.
Since secant is the reciprocal of cosine, we derive the value from the cosine of 135°, which is -√2/2. For instance, the tangent of 135 degrees is -1, as the sine and cosine values are equal in magnitude but opposite in sign.
Sec 135 Degrees Trig Function Value and Its Exact Result
Because cosine is negative there, its reciprocal must also be negative. Consequently, the trigonometric functions derived from this angle exhibit distinct signs, primarily characterized by a negative cosine and a positive sine, which form the foundation for its mathematical identity.
More About Sec 135 degrees
Looking at Sec 135 degrees from another angle can help expand the discussion and give readers a second clear paragraph under the same section.
More perspective on Sec 135 degrees can make the topic easier to follow by connecting earlier points with a few simple takeaways.
