What is the reciprocal of cosine?

The secant is the reciprocal of the cosine. It is the ratio of the hypotenuse to the side adjacent to a given angle in a right triangle.

Is sine the reciprocal of cosine?

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).

What are the reciprocal identities?

In trigonometry, reciprocal identities are sometimes called inverse identities. Reciprocal identities are inverse sine, cosine, and tangent functions written as “arc” prefixes such as arcsine, arccosine, and arctan. For instance, functions like sin^-1 (x) and cos^-1 (x) are inverse identities.

What are the 3 reciprocal identities?

The reciprocal identities are: csc(x) = 1/sin(x), sec(x) = 1/cos(x), and cot(x) = 1/tan(x).

Is cosecant the inverse of cosine?

Given a triangle rectangle, we define the cosecant, the secant and the cotangent of an angle as the inverse ratios of the sine, the cosine and the tangent, respectively.

Reciprocal Identities - Evaluating Secant and Cosecant Functions

What is cos theta?

The Cos theta or cos θ is the ratio of the adjacent side to the hypotenuse, where θ is one of the acute angles. The cosine formula is as follows: C o s Θ = A d j a c e n t H y p o t e n u s e.

What is the reciprocal of sine in trigonometry?

Reciprocal of sine is written as cosec x = 1/sin x. The reciprocal of sine, that is cosecant function is the ratio of the hypotenuse to the perpendicular in a right-angled triangle.

What is tan in COS and sin?

The tangent of x is defined to be its sine divided by its cosine: tan x = sin x cos x . The cotangent of x is defined to be the cosine of x divided by the sine of x: cot x = cos x sin x .

What is the exact value of cos 30?

Cos 30° = √3/2 is an irrational number and equals to 0.8660254037 (decimal form). Therefore, the exact value of cos 30 degrees is written as 0.8660 approx. √3/2 is the value of Cos 30° which is a trigonometric ratio or trigonometric function of a particular angle.

Is cosecant the inverse of sine?

We already know that the cosecant function is the reciprocal of the sine function. This will be used to derive the reciprocal of the inverse sine function.

What is the value of cos?

The value of cos 1 degrees is 0.9998476. . .. Cos 1 degrees in radians is written as cos (1° × π/180°), i.e., cos (0.017453. . .).

What is value of sin30?

The value of sin 30 degrees is 0.5. Sin 30 is also written as sin π/6, in radians.

How hard is trigonometry?

With trigonometry, you have to remember what sine and cosine mean, for example. You have to remember what they represent and the various ways they impact angles and lengths. Trigonometry is difficult because it involves a lot of memorization of different functions which can then deviate into other functions.

What is cot in trigonometry?

In trigonometry, cot or cotangent is one of six trigonometric ratios. In a right-angled triangle, cot of an angle is equal to the ratio of adjacent side and opposite side of angle. Cot x = Adjacent Side/Opposite side. Cot x is also equal to the reciprocal of tan x. Cot x = 1/tan x.

Is cotangent the inverse of tangent?

Cotangent is not same as tangent inverse. Cotangent function is equal to the reciprocal of tangent function.

What is the reciprocal of sine ratio and cosine ratio?

The table below summarizes these relationships. The cosecant is the reciprocal of the sine. The secant is the reciprocal of the cosine.

What is the cosine of a triangle?

In any right triangle, the cosine of an angle is the length of the adjacent side (A) divided by the length of the hypotenuse (H). In a formula, it is written simply as 'cos'.

What is COS equal to?

Definition of cosine

The cosine of an angle is defined as the sine of the complementary angle. The complementary angle equals the given angle subtracted from a right angle, 90°. For instance, if the angle is 30°, then its complement is 60°. Generally, for any angle θ, cos θ = sin (90° – θ).

What is equal to cos θ *?

It can be abbreviated as Cos(θ) and looks like this: Cos(θ) = adjacent/hypotenuse. In other words, it takes the length of the adjacent side (the side next to the angle) and divides it by the length of the hypotenuse (the longest side of a right triangle).

What is the exact value of sin15?

Sin 15 degrees is the value of sine trigonometric function for an angle equal to 15 degrees. The value of sin 15° is (√6 - √2)/4 or 0.2588 (approx).

What is sin60 value?

Therefore, the exact value of sin 60 degrees is √3/2.

Is the value of cos 60?

The value of cos 60 is 1/2.