What is sec equal to in trig?

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 .

What trig function is secant?

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. It is the reciprocal of cosine function and hence, is also written as sec x = 1 / cos x.

How is the unit circle related to trigonometric functions?

An arc of the unit circle has the same length as the measure of the central angle that intercepts that arc. Also, because the radius of the unit circle is one, the trigonometric functions sine and cosine have special relevance for the unit circle.

What is the secant line in a unit circle?

Unit circle, axis, and complementary (orthogonal) axis designated as co-axis. Secant line, a geometric object, cuts the circle at an angle of theta to the horizontal axis. The secant line intersects the circle at point P.

What is the value of sec?

The secant of angle zero degrees is written as ⁡ in Sexagesimal system and the exact value of secant of angle zero degrees is equal to one.

Is Cos 1 the same as sec?

cos x−1, sometimes interpreted as (cos(x))−1 = 1cos(x) = sec(x) or secant of x, the multiplicative inverse (or reciprocal) of the trigonometric function cosine (see above for ambiguity)

Is sec a COS 1?

We define secx as the multiplicative inverse of cosx, in other words, fixed a∈R, seca is the number such that secacosa=1.

Why is the unit circle important to trigonometry?

The Unit Circle: A Basic Introduction The unit circle, or trig circle as it’s also known, is useful to know because it lets us easily calculate the cosine, sine, and tangent of any angle between 0° and 360° (or 0 and 2π radians).