Trigonometric Values of 45 Degree

Trigonometric values (sine, cosine, tangent, etc.) of a 45-degree angle are special because they have exact values that can be expressed without decimals.

Below are the main trigonometric values for a 45-degree angle:

• Sine (sin): sin(45°) = √2 / 2 = 1/√2
• Cosine (cos): cos(45°) = √2 / 2 = 1/√2
• Tangent (tan): tan(45°) = 1

There are other trigonometric functions like cotangent (cot), secant (sec), and cosecant (CSC), but these can be derived from the sine and cosine values using trigonometric identities.

45-degree angle is a fundamental concept in geometry and trigonometry. An angle is a form of geometrical shape constructed by joining two rays to each other at their endpoints. The two lines joined together are called the arms of the angle.

A 45-degree angle is exactly half of a right angle, which measures 90 degrees. Two 45-degree angles placed together form a right angle. In degrees, a 45-degree angle is 45/360 of a complete circle since its measure is between 0 and 90 degrees, a 45-degree angle is classified as an acute angle.

In this article, we will learn about, a 45-degree angle, how to draw a 45-degree angle using a compass and protractor, the properties of a 45-degree angle trigonometric values of a 45-degree angle and others in detail.