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Explain in Detail :Two Important Right Triangles
There are two important right triangles that are often used in geometry: the 45-45-90 triangle and the 30-60-90 triangle.
The 45-45-90 triangle is a right triangle with legs that are all the same length. The angle between the legs is 45 degrees, and the hypotenuse is the longest side. This triangle can be used to find the length of other sides or angles in a right triangle, since they are all related.
The 30-60-90 triangle is a right triangle with legs that are different lengths. The angle between the legs is 30 degrees, and the hypotenuse is the longest side. This triangle can be used to find the length of other sides or angles in a right triangle, since they are all related.
Below are Some Properties of Trigonometric Angles.
The six trigonometric angles are the angles in a right triangle that have special names:
The six trigonometric angles are also the angles in a circle that have special names:
The six trigonometric angles are also the angles in a unit circle that have special names:
The six trigonometric angles are also the angles in a unit square that have special names:
The six trigonometric angles are also the angles in a unit hexagon that have special names:
The six trigonometric angles are also the angles in a unit octagon that have special names:
The six trigonometric angles are also the angles in a unit dodecagon that have special names:
Angles in a right triangle that have the same sine are called complementary angles.
Angles in a right triangle that have the same cosine are called supplementary angles.
Angles in a right triangle that have the same tangent are called “coincidental angles.”
