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This video covers the basics of the reciprocal trig functions, including cotangent, secant, and cosecant.
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Evaluate the inverse trig functions for angles in degrees or radians #1-20.
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Are the trig functions of the special angles the same?
In particular, the exact values for the reciprocal trig functions of the special angles are easily obtained. Caution 8.52. The reciprocal functions are not the same as the inverse trig functions! cos − 1 ( 0.8). 1 cos 0.8. Each of the reciprocal functions is undefined when its denominator is equal to zero.
When is the secant of a reciprocal function undefined?
Each of the reciprocal functions is undefined when its denominator is equal to zero. For example, the secant is undefined when cosθ = 0, or when θ is an odd multiple of 90 ∘.
Which is an example of a reciprocal function?
Although we can express any relationship between the sides of a right triangle using sine, cosine, and tangent, sometimes it is more convenient to use one of the reciprocal functions. Example 8.56. that the sun's rays make with ground.
How to obtain graphs of trig the reciprocal functions?
We can obtain graphs of the reciprocal trig functions by plotting points, as we did for the sine, cosine and tangent functions. However, it is more enlightening to construct these graphs as the reciprocals of the three basic functions. Example 8.58.
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