Add together the secant of the Latitude, the cosecant of the P.D., the cosine of the Half Sum and the sine of the Difference (Table 44). ❋ Ernest Gallaudet Draper (1919)
After the creation of the universe, light speed declined following a curve approximating the curve of the cosecant squared. ❋ Unknown (2010)
On this topic, it isn't completely clear to me why we make kids memorize what the secant, cosecant, and cotangent are. ❋ Unknown (2010)
That is to say: sin2 ¼ ðsin Þ2 The same holds true for the cosine, tangent, cosecant, secant, cotangent, and for all other similar expressions you will see in the rest of this book. ❋ Unknown (2009)
The following formula holds for all real numbers x: tanh À x ¼ Àtanh x HYPERBOLIC COSECANT OF NEGATIVE VARIABLE The hyperbolic cosecant of the negative of a variable is equal to the negative of the hyperbolic cosecant of the variable. ❋ Unknown (2009)
If your calculator does not have keys for the cosecant (csc), secant (sec), or cotangent (cot) functions, fi rst ❋ Unknown (2009)
POWERS OF e Once we de fi ne the hyperbolic sine and the hyperbolic cosine of a quantity, the other four hyperbolic functions can be de fi ned, just as the circular tangent, cosecant, secant, and cotangent follow from the circular sine and cosine. ❋ Unknown (2009)
If we are operating on some variable x, the arctangent of x is denoted tanÀ1 (x) or arctan (x) The inverse of the cosecant function is the arccosecant function. ❋ Unknown (2009)
The reciprocal of the ordinate, that is, 1/y0, is de fi ned as the cosecant of the angle. ❋ Unknown (2009)
The range of the cosecant function encompasses all real numbers greater than or equal to 1, and all real numbers less than or equal to À1. ❋ Unknown (2009)
SOLUTION 4-1 Remember that the hyperbolic cosecant (csch) is the reciprocal of the hyper - bolic sine (sinh). ❋ Unknown (2009)
There are two ways of denoting an inverse when talking about the sine, cosine, tangent, cosecant, secant, and cotangent. ❋ Unknown (2009)
When x is equal to any integral multiple of 180 (rad), the cosecant function '' blows up. '' ❋ Unknown (2009)
Graph of the secant function for values of x between -3 rad and 3 rad. is the same as the range of the cosecant function. ❋ Unknown (2009)
The Right Triangle Model In the previous chapter, we de fi ned the six circular functions-sine, cosine, tangent, cosecant, secant, and cotangent-in terms of points on a circle. ❋ Unknown (2009)
They are known as the hyperbolic sine, hyperbolic cosine, hyperbolic tangent, hyperbolic cosecant, hyperbolic secant, and hyperbolic cotangent. ❋ Unknown (2009)
This should not come as a surprise, because the cosecant and secant functions are the reciprocals of the sine and cosine functions, respectively, and the sine and cosine are horizontally displaced by 1 = 4 cycle. ❋ Unknown (2009)
If we are operating on some variable x, the arccotangent of x is denoted cotÀ1 (x) or arccot (x) The sine, cosine, tangent, cosecant, secant, and cotangent require special restrictions in order for the inverses to be de fi nable as legitimate functions. ❋ Unknown (2009)
The cosecant and secant functions have the same general shape, but they are shifted by 90 (/2 rad), or 1 = 4 cycle, with respect to each other. ❋ Unknown (2009)
That is to say, for any angle, the following equation is always true as long as sin is not equal to zero: csc ¼ 1 = ðsin Þ The cosecant function is not de fi ned for 0 (0 rad), or for any multiple of 180 (rad). ❋ Unknown (2009)
