Introduction
In mathematics and physics, the cosine of pi by four is the angle, usually in radians, where the cosine of an angle is equal to one fourth of pi. This angle is also sometimes referred to as 45°, as it is equal to one-eighth of a revolution. This angle is useful in many mathematical equations, as well as in physics problems. In this doc, we will explain what is one over cosine of pi by four and how it can be calculated.
Definition
The one over cosine of pi by four is the angle, usually in radians, where the cosine of the angle is equal to one fourth of pi. This angle is also sometimes referred to as 45°, as it is equal to one-eighth of a revolution. This angle is useful in many mathematical equations, as well as in physics problems.
How to Calculate 1 over Cosine of pi by 4
1.First, calculate the cosine of pi by four. This can be done using the formula below:
cos(π/4) = √2/2
where π is the Greek symbol for pi.
2.Next, divide 1 by the cosine of pi by four. This can also be done using the formula below:
1/ cos(π/4) = 2/√2
3.Finally, take the inverse of the result to get the answer:
cos-1(2/√2) = π/4
FAQ
What is the Cosine of pi by 4?
The Cosine of pi by 4 is the angle, usually in radians, where the cosine of the angle is equal to one fourth of pi. This angle is also sometimes referred to as 45°, as it is equal to one-eighth of a revolution.
What is the formula for calculating the Cosine of pi by 4?
The formula for calculating the Cosine of pi by four is cos(π/4) = √2/2.
What is the formula for calculating 1 over Cosine of pi by 4?
The formula for calculating 1 over Cosine of pi by 4 is 1/ cos(π/4) = 2/√2.
How do you calculate the inverse of the answer?
The inverse of the answer can be calculated by taking the inverse of the result. The inverse of the result is cos-1(2/√2) = π/4.
What is the angle in terms of degrees?
The angle in terms of degrees is 45°.
Sources
What is the Cosine of pi by 4?
How to Calculate the Cosine of pi by 4?