Secant - a straight line that intersects a curve at two or more points straight line - a line traced by a point traveling in a constant direction a line of zero curvature the shortest distance between two points is a straight line. Does the secant equal 1 over the sine or 1 over the cosine here are two helpful hints: each of those definitions has a cofunction on one and only one side of the equation, so you won’t be tempted to think that sec a equals 1/sin a. Csc a = sec(90° − a) or sec(π/2 − a) six functions in one picture you saw earlier how the sine and cosine of an angle are the sides of a triangle in a unit circle.
Definitions of tangent, secant, and cosecant let denote an angle definition: the tangent of , denoted is definition: the secant of , denoted is definition: the cosecant of , denoted is we summarize information about the domain and range of the six trig functions: : domain equals range equals [-1,1]: domain equals range equals [-1,1. Secant is a term in mathematics derived from the latin secare (to cut) it may refer to: a secant line, in geometry the secant variety, in algebraic geometry secant (trigonometry) (latin: secans), the multiplicative inverse (or reciprocal) trigonometric function of the cosine.
Secant can be derived as the reciprocal of cosine: the inverse secant function - arcsec for every trigonometry function such as sec, there is an inverse function that works in reverse these inverse functions have the same name but with 'arc' in front so the inverse of sec is arcsec etc.
Cosecant, secant, and cotangent in addition to sine, cosine, and tangent, there are three other trigonometric functions you need to know for the math iic: cosecant, secant, and cotangent these functions are simply the reciprocals of sine, cosine, and tangent. Where is the cosinethe secant is implemented in the wolfram language as sec[z] note that the secant does not appear to be in consistent widespread use in europe, although it does appear explicitly in various german and russian handbooks (eg, gradshteyn and ryzhik 2000, p 43.
The secant is the inverse of the cosine the reciprocal of the abscissa of the endpoint of an arc of a unit circle centered at the origin of a cartesian coordinate system, the arc being of length x and measured counterclockwise from the point (1, 0) if x is positive or clockwise if x is negative. A secant is a line that intersects a circle at two points see secant of a circle 2 trigonometry the secant of an angle in a right triangle is the hypotenuse divided by the adjacent side see secant of an angle - trigonometry pages referring to 'secant' calculus - trigonometric functions.
B: a trigonometric function sec θ that is the reciprocal of the cosine for all real numbers θ for which the cosine is not zero and that is exactly equal to the secant of an angle of measure θ in radians.
Using the alternate definition of sine and cosine as ratios of sides of right triangles, we can give alternate definitions of tangent, secant, cosecant, and cotangent o scar h ad a h eap o f a pples is a mnemonic to remember that , , and. The first step in computing any trigonometric function is range reduction—reducing the given angle to a reduced angle inside a small range of angles, say 0 to π / 2, using the periodicity and symmetries of the trigonometric functions. The secant is implemented in the wolfram language as sec[z] note that the secant does not appear to be in consistent widespread use in europe, although it does appear explicitly in various german and russian handbooks (eg, gradshteyn and ryzhik 2000, p 43.