Why is SEC called secant?

The word secant comes from the Latin word secare, meaning to cut. In the case of a circle, a secant intersects the circle at exactly two points. A chord is the line segment determined by the two points, that is, the interval on the secant whose ends are the two points.

Do tangent lines have any relation to secant lines also what lines do tangent lines have a definite relationship with?

The tangent line t and the tangent point T have a conjugate relationship to one another, which has been generalized into the idea of pole points and polar lines. The same reciprocal relation exists between a point P outside the circle and the secant line joining its two points of tangency.

What does SEC represent on the unit circle?

The secant function is the reciprocal of the cosine function (secx=1cosx) ⁡ x = 1 cos ⁡ . It can be found for an angle t by using the x -coordinate of the associated point on the unit circle: sect=1x ⁡ t = 1 x . The cosecant function is the reciprocal of the sine function (cscx=1sinx) ⁡ x = 1 sin ⁡ .

What is Secant function?

Secant Definition The secant function is a periodic function in trigonometry. The secant function or sec function can be defined as the ratio of the length of the hypotenuse to that of the length of the base in a right-angled triangle.

How do you find the secant of a circle?

The whole secant segment of the circle is AC and it intersects at D and C. The secant of the circle measures 15 + 5 = 20 units. According to the secant tangent rule, we know that: (the whole secant segment × the exterior secant segment) = square of the tangent.

What’s secant equal to?

The secant of x is 1 divided by the cosine of x: sec x = 1 cos x , and the cosecant of x is defined to be 1 divided by the sine of x: csc x = 1 sin x .

How are tangent and secant related?

If a tangent segment and a secant segment are drawn to a circle from an exterior point, then the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment. They intersect at point U . …

What kind of function is secant?

The secant function is a trigonometric function, one of three reciprocal functions that we look at in these pages, the other two being the cosecant function and the cotangent function. A reciprocal function is one that is the reciprocal (or multiplicative inverse) of another function (see below).

What is the function of secant?

How do you find secant function?