Understanding Obtuse Angles | Definition, Examples, and Applications in Geometry and Trigonometry

obtuse angle

An obtuse angle is an angle that measures greater than 90 degrees but less than 180 degrees

An obtuse angle is an angle that measures greater than 90 degrees but less than 180 degrees. In an obtuse angle, the two sides of the angle extend away from each other in opposite directions.

To envision an obtuse angle, imagine a clock with the 12 at the top and the 6 at the bottom. If you draw a line from the center of the clock to the 3, then to the 6, you would create an obtuse angle because it is greater than 90 degrees.

Obtuse angles are often seen in real-life situations such as when a door is open wider than 90 degrees, or when the hands on a clock point to a time that is past the half-hour mark.

In terms of trigonometry, an obtuse angle can be used to find various trigonometric functions such as sine, cosine, and tangent. However, it is important to note that the values of these functions for an obtuse angle are negative because they represent the ratios of lengths of certain sides of a right triangle formed within the angle.

Overall, understanding the concept of an obtuse angle is important for geometry and trigonometry, as it helps describe and analyze various geometric figures and solve related problems.

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