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How many trigonometric ratios are there?
Six.
Examples of the three basic trigonometric ratios?
Given a unit circle (radius = 1) and a counterclockwise angle (theta) between the positive x axis, with the x-y coordinate of the point on the circle that the angle intersects, the three basic trigonometric ratios are... 1. sine (theta) is y 2. cosine (theta) is x 3. tangent (theta) is x / y
What trigonometric ratios cannot be greater than one?
Sine and cosine.
What property of similar triangles allows the development of trigonometric ratios for any angle in a right triangle?
The property of similar triangles that facilitates the development of trigonometric ratios is the concept of proportionality in corresponding sides. In similar triangles, the ratios of the lengths of corresponding sides are equal, which allows us to define sine, cosine, and tangent for any angle in a right triangle. These ratios remain consistent regardless of the size of the triangle, enabling the extension of trigonometric functions beyond right triangles to any angle in the unit circle. This relationship provides a foundational basis for trigonometry.
What calculation is different in finding missing side lengths and angle measures in a right triangle using the trigonometric functions?
When finding missing side lengths in a right triangle using trigonometric functions, you typically apply ratios like sine, cosine, or tangent, which relate the angles to the lengths of the sides. Conversely, when calculating missing angle measures, you use the inverse trigonometric functions (such as arcsine, arccosine, or arctangent), which take the ratios of the sides and return the corresponding angles. Thus, the key difference lies in using direct ratios for side lengths and inverse functions for angles.
How many trigonometric ratios are there?
Six.
Why do similar triangles have the same trigonometric ratios?
Trigonometric ratios are characteristics of angles, not of lengths. And, by definition, the corresponding angles an similar triangles have the same measures.
What does trigonometric identities all about?
They are true statements about trigonometric ratios and their relationships irrespective of the value of the angle.
Examples of the three basic trigonometric ratios?
Given a unit circle (radius = 1) and a counterclockwise angle (theta) between the positive x axis, with the x-y coordinate of the point on the circle that the angle intersects, the three basic trigonometric ratios are... 1. sine (theta) is y 2. cosine (theta) is x 3. tangent (theta) is x / y
What is the difference between a tangent and a secant?
They are different trigonometric ratios!
How did people measure the height of Mt Everest?
Trigonometric ratios.
What trigonometric ratios cannot be greater than one?
Sine and cosine.
What the three main trigonometric ratios mean?
sin, cos and tan
Explain how distances can be found using a right triangle?
Using trigonometric ratios.
Can this be used for sines?
No. Sines are well defined trigonometric ratios whereas "this" is not defined at all.
What complements tan 132 degree angle?
Complements are defined for angles, not trigonometric ratios of angles.
Does a rectangular prism have any secants?
Yes, since it has vertices it has angles and since it has angles it has trigonometric ratios
