Question: What Is The Reciprocal Of Cosine?

What are reciprocal trig ratios 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..

What is the reciprocal of Secant?

Cosecant is the reciprocal of sine. Secant is the reciprocal of cosine. Cotangent is the reciprocal of tangent.

What is a reciprocal of 2 9?

Number × Reciprocal of number = 1. And, Multiplicative Inverse of a/b = b/a. So, Multiplicative inverse of 2/9 by 1/2 or 4/9 = 9/4.

What is the reciprocal of sin cos and tan?

The reciprocal cosine function is secant: sec(theta)=1/cos(theta). The reciprocal sine function is cosecant, csc(theta)=1/sin(theta). The reciprocal tangent function is cotangent, expressed two ways: cot(theta)=1/tan(theta) or cot(theta)=cos(theta)/sin(theta). … Secant theta is defined as 1 over x.

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).

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).

What is a reciprocal of 1?

The reciprocal (also known as the multiplicative inverse) is the number we have to multiply to get an answer equal to the multiplicative identity, 1 . Since 1×1=1 , the reciprocal of 1 is 1 . (The only numbers that are their own reciprocals are 1 and −1 .)

What is the 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/ 1/sin.

What is the definition of a reciprocal?

(Entry 1 of 2) 1a : inversely related : opposite. b : of, constituting, or resulting from paired crosses in which the kind that supplies the male parent of the first cross supplies the female parent of the second cross and vice versa. 2 : shared, felt, or shown by both sides.

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 is cot in trigonometry?

In a right triangle, the cotangent of an angle is the length of the adjacent side divided by the length of the opposite side. … Of the six possible trigonometric functions, cotangent, secant, and cosecant, are rarely used.

What is a reciprocal of 7?

Answer and Explanation: The reciprocal of 7 is 1/7. In general, the reciprocal of a fraction simply interchanges the numerator and denominator of the fraction.

How do you calculate Cotangent?

The cotangent of x is defined to be the cosine of x divided by the sine of x: cot x = cos x sin x . 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 are the 6 trig ratios?

These six trigonometric ratios are abbreviated as sin, cos, tan, csc, sec, cot. These are referred to as ratios since they can be expressed in terms of the sides of a right-angled triangle for a specific angle θ.

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.

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.