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They may be defined as the ratios of the lengths of sides of a right angled triangle, relative to either of the other angles.sine = opposite/hypotenuse

cosine = adjacent/hypotenuse

tangent = opposite/adjacent

cosecant = hypotenuse/opposite

secant = hypotenuse/adjacent

cotangent = adjacent/opposite.

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How many trigonometric ratios are there?

Six.


What trigonometric ratios cannot be greater than one?

Sine and cosine.


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 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.)


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