# Trigonometry Homework Do you see how you have shortened the ratios to the first letter of each word?Remember that one word, and it will do you well in trigonometry.

Do you see how you have shortened the ratios to the first letter of each word?Remember that one word, and it will do you well in trigonometry.

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The inverse of sine is the secant, and the secant of θ (sec θ) is the ratio of the hypotenuse to the opposite side.

The inverse of cosine is the cosecant, and the cosecant of θ (csc θ) is the ratio of the hypotenuse to the adjacent side.

Learn about the usefulness of trigonometry and how triangles and circles are tied together.

Trigonometry can be defined as the calculation part of geometry.

They are the 45-45-90 triangle (also known as the π/4, π/4, and π/2 in radian measure), and the 30-60-90 triangle (also known as π/6, π/4, and π/2).

They can be used to calculate the trigonometric ratios.Right triangles have special properties that are important to determine trigonometric ratios, such as sine (sin), cosine (cos), tangent (tan), secant (sec), cosecant (csc), and cotangent (cot).Those ratios reflect the relationships between the opposite and adjacent angles of the right angle with the hypotenuse.The ratios sin, cos, tan, sec, csc, and cot will be the same for angle θ, no matter the length of the sides of the triangle.Some right triangles have special measures and ratios that can also be deduced from the Pythagorean Theorem.CAH is for cosine with the ratio adjacent over hypotenuse.And TOA is for tangent with the ratio opposite over adjacent.Trigonometry is where you apply your knowledge of triangles from geometry and use the resulting formulas to help you solve problems.Many math symbols come from the Greek language and, not surprisingly, the word trigonometry also has its roots in that language.The principles behind right triangles and their ratios are used to calculate many different relationships, such as the height of a tree, a building, or a mountain, or the distance between the earth and the sun.A famous Greek geometer named Thales, who founded trigonometry, calculated the height of the Great Pyramid in Egypt, and Aristarchus estimated the distance from the earth to the sun. Learn more about how we are assisting thousands of students each academic year.

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