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What trigonometric ratios cannot be greater than one?
Sine and cosine.
How do you find trigonometric ratios without a calculator?
There are a few ways. First, there are a multitude of trigonometric tables which list the sines and cosines of a variety of values. if you now one trigonometric value of a number, you can find all the others by hand, and you can also use a Taylor series approximation to find a fairly accurate value. (In fact, many calculators use Taylor series to find trigonometric values.)
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.
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 are the connections between right triangle ratios trigonometric functions and the unit circle?
Right triangle ratios serve as the foundation for defining trigonometric functions such as sine, cosine, and tangent, which relate the angles of a triangle to the lengths of its sides. The unit circle, a circle with a radius of one centered at the origin of a coordinate plane, extends these concepts by allowing trigonometric functions to be defined for all angles, not just those in right triangles. In the unit circle, the x-coordinate corresponds to the cosine of the angle, while the y-coordinate corresponds to the sine, thus linking the geometric representation of angles to their trigonometric values. This connection facilitates the understanding of periodic properties and the behavior of trigonometric functions across all quadrants.
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.
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.
How do you find trigonometric ratios without a calculator?
There are a few ways. First, there are a multitude of trigonometric tables which list the sines and cosines of a variety of values. if you now one trigonometric value of a number, you can find all the others by hand, and you can also use a Taylor series approximation to find a fairly accurate value. (In fact, many calculators use Taylor series to find trigonometric values.)
Does a rectangular prism have any secants?
Yes, since it has vertices it has angles and since it has angles it has trigonometric ratios
How do you choose the sides in trigonometry?
We take side to take trigonometric ratios according 2 the vertex of triangle which is given.
