Question: What Is Reciprocal Relation In Trigonometry?

What is the reciprocal identity?

The reciprocal means flipping the numbers.

In general, the reciprocal identities are identities in which the equality relation occurs by swapping or interchanging the numerator and the denominator of the number.

Trigonometric functions: Consider the first quadrant with the terminate point of radius r is P(x, y)..

What are the 3 reciprocal identities?

Applying the concept of reciprocal identities, mathematicians define three more ratios. Their names are cosecant, secant and cotangent. Cosecant is the reciprocal identity of sine, secant that of cosine and cotangent that of tangent.

What is the reciprocal of Tanθ?

The reciprocal tangent function is cotangent, expressed two ways: cot(theta)=1/tan(theta) or cot(theta)=cos(theta)/sin(theta).

Is sin an XR or a yr?

First, the the secant, cosecant, and cotangent functions are the reciprocals of the cosine, sine, and tangent functions, respectively. Second, there is no value for which the cosine and sine functions are undefined. This is because r is the distant from the origin to the point (x,y) ≠ (0,0) on the terminal ray.

What are the 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.

What is reciprocal of sin?

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

What are the 9 trig identities?

Sine, Cosine and TangentSine Function:sin(θ) = Opposite / HypotenuseCosine Function:cos(θ) = Adjacent / HypotenuseTangent Function:tan(θ) = Opposite / Adjacent

Is sin 1 the same as CSC?

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’s another word for reciprocal?

What is another word for reciprocal?complementarycorrelativeinterchangeableinterdependentchangeablecommunalcompanionconvertiblecoordinatedependent31 more rows

What is reciprocal trigonometric function?

There are three reciprocal trigonometric functions, making a total of six including cosine, sine, and tangent. The reciprocal cosine function is secant: sec(theta)=1/cos(theta). The reciprocal sine function is cosecant, csc(theta)=1/sin(theta). … Cosecant theta is 1 over y and cotangent is x over y.

What is a reciprocal relationship?

Reciprocal describes something that’s the same on both sides. The word mutual is a near synonym in most uses: reciprocal/mutual friendship, describing, a relationship in which two people feel the same way about each other, or do or give similar things to each other. …

Can love be reciprocated?

You can reciprocate love without fully accepting it first. It happens when you hear that you are loved, but you don’t let the understanding sink in because you don’t have enough self-love to agree. You are, however, eager to love the person back because you see the good in them.

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 the another name for reciprocal?

In this page you can discover 20 synonyms, antonyms, idiomatic expressions, and related words for reciprocal, like: correlative, exchangeable, nonreciprocal, mutual, complementary, reciprocal cross, multiplicative-inverse, changeable, corresponding, duplicate and equivalent.