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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 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.
The first part of the word trigon is Greek for 'triangle.' The second part comes from the Greek word metron for 'measure.' Trigonometry has a lot to do with triangles.
Sines, cosines, and tangents all come from the measuring of the lowly triangle.Not just any triangle will do for trigonometry, though.It has to be a right triangle where one of the angles is a 90 degree angle.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.Try it risk-free There is more to trigonometry than just sines and cosines.It can help when you need to build certain things or when you need to calculate certain distances.Suppose a right triangle has an angle θ for one of the acute angles.The sine of θ (sin θ) is the ratio of the opposite side to the hypotenuse, the cosine of θ (cos θ) is the ratio of the adjacent side to the hypotenuse, and the tangent of θ (tan θ) is the ratio of the opposite side to the adjacent side.What's so special about the right triangle, you say? The hypotenuse is always the side across from the right angle; however, the other two sides switch depending on which angle you are referring to.Well, just looking at it, we see that a right triangle has names for all three sides. You see, the adjacent side, as the name suggests, is always next to the angle.