Question: What Are The Reciprocal Identities?

What is a reciprocal identity in trig?

cosecant, secant, and cotangent are the reciprocal of their corresponding trig identity.

cosecant is 1 over sine, secant is 1 over cosine, and cotangent is 1 over tangent.

cos-1, sin-1, tan-1 are inverses..

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).

What is the reciprocal of sin A?

Cosecant is the reciprocal of sine. Its abbreviation is csc.

Is tangent sin over COS?

The tangent of x is defined to be its sine divided by its cosine: tan x = sin x cos 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 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 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 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 sin 1 the same as CSC?

Sine of an angle is the side of the triangle that does not touch the angle divided by the hypotenuse. … cosecant is the reciprical of the sin function or 1/sin(x) so that csc(x)*sin(x) = 1 when it is defined. The two can be confused since arcsin(x) is often denoted as sin^-1(x) and x^-1 is 1/x.

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 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.