What is a 45 degree angle?

A 45-degree angle is a type of <a href="https://www.wikiwhat.page/kavramlar/acute%20angle">acute angle</a>, meaning it is smaller than 90 degrees but larger than 0 degrees. It is exactly half of a <a href="https://www.wikiwhat.page/kavramlar/right%20angle">right angle</a>.

  • Measurement: 45 degrees (45°) or π/4 radians.
  • Geometry: Often found in <a href="https://www.wikiwhat.page/kavramlar/isosceles%20right%20triangles">isosceles right triangles</a>, where the two non-right angles are both 45 degrees.
  • Trigonometry: The sine and cosine of 45 degrees are both equal to √2/2, and the tangent is equal to 1. Specifically, sin(45°) = cos(45°) = √2/2 and tan(45°) = 1.
  • Construction: Can be easily constructed using a <a href="https://www.wikiwhat.page/kavramlar/compass%20and%20straightedge">compass and straightedge</a> by bisecting a right angle.