Quick Answer: What Is The Reciprocal Of SEC?

What are the 3 trigonometric functions?

The most widely used trigonometric functions are the sine, the cosine, and the tangent.

Their reciprocals are respectively the cosecant, the secant, and the cotangent, which are less used in modern mathematics..

What is the definition of a reciprocal?

adjective. given or felt by each toward the other; mutual: reciprocal respect. given, performed, felt, etc., in return: reciprocal aid. … (of a pronoun or verb) expressing mutual relationship or action: “Each other” and “one another” are reciprocal pronouns.

What are reciprocal trig functions used for?

Reciprocal Trigonometric Functions We can obtain graphs of the secant, cosecant, and cotangent functions as the reciprocals of the three basic functions. We can solve equations of the form secθ=k, ⁡ cscθ=k, ⁡ and cotθ=k ⁡ by taking the reciprocal of both sides.

How do you calculate secant?

The secant of an angle in a right triangle is the value found by dividing length of the hypotenuse by the length of the side adjacent the given angle. The secant ratio is the reciprocal of the cosine ratio.

What is sine formula?

= 0.500. The sine function, along with cosine and tangent, is one of the three most common trigonometric functions. In any right triangle, the sine of an angle x is the length of the opposite side (O) divided by the length of the hypotenuse (H). In a formula, it is written as ‘sin’ without the ‘e’:

What does Sine mean?

In mathematics, the sine is a trigonometric function of an angle. The sine of an acute angle is defined in the context of a right triangle: for the specified angle, it is the ratio of the length of the side that is opposite that angle to the length of the longest side of the triangle (the hypotenuse).

Is the value of sin 60?

The exact value of sin(60°) sin ( 60 ° ) is √32 .

What is 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 .

What does R mean in trigonometry?

When you work with angles in all four quadrants, the trig ratios for those angles are computed in terms of the values of x, y, and r, where r is the radius of the circle that corresponds to the hypotenuse of the right triangle for your angle.

What are the reciprocal functions?

The reciprocal function of a function f(x) is 1/f(x). The general form of a reciprocal function is r(x) = a / (x – h) + k. … The vertical asymptote of r(x) is x = h. The horizontal asymptote of r(x) is y = k.

Are sin and cos reciprocals of each other explain?

Sine, cosine, and tangent each have a reciprocal function. … We already know that regular numbers have reciprocals (2 and 1/2 are reciprocals, for example), but we can also flip our trig functions on their heads. Cosecant is the reciprocal of sine. Its abbreviation is csc.

Is Arccos the same as SEC?

Secant, cosecant and cotangent, almost always written as sec, cosec and cot are trigonometric functions like sin, cos and tan. Note, sec x is not the same as cos-1x (sometimes written as arccos x).

Is SEC the opposite of Cos?

The cosecant is the reciprocal of the sine. The secant is the reciprocal of the cosine.

What is a reciprocal identity?

In mathematics, a reciprocal of a number is the number that, when multiplied by the original number, produces 1. … In this example, 1/x is the reciprocal identity of x, and vice versa. In trigonometry, either of the non-90-degree angles in a right triangle can be defined by ratios called the sine, cosine and tangent.

What are the 6 reciprocal identities?

Terms in this set (6)sin. 1/csc.cos. 1/sec.tan. 1/cot.cot. 1/tan.sec. 1/cos.csc. 1/sin.

Can Arccos be negative?

The arccosine of a positive number is a first quadrant angle, cos-1(+) is in quadrant I. The arccosine of zero is /2, cos-1(0) is /2. The arccosine of a negative number is a second quadrant angle, cos-1(-) is in quadrant II.

Is cot an Arctan?

arctan(x) It turns out that arctan and cot are really separate things: cot(x) = 1/tan(x) , so cotangent is basically the reciprocal of a tangent, or, in other words, the multiplicative inverse. arctan(x) is the angle whose tangent is x.

What are the 2 quotient identities?

In trigonometry, quotient identities refer to trig identities that are divided by each other. There are two quotient identities that are crucial for solving problems dealing with trigs, those being for tangent and cotangent. Cotangent, if you’re unfamiliar with it, is the inverse or reciprocal identity of tangent.