What is the reciprocal ratio of sine

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The reciprocal of sine is the cosecant function. There are six main trigonometric functions namely, sine, cosine, tangent, cotangent, secant, and cosecant. An important thing to note is that the reciprocal of sine is not the inverse function of sine, that is, the cosecant function is not the inverse function of sine. So, we have cosecant which is the reciprocal of sine. In this article, let us learn about the properties of the reciprocal of sine, that is, cosecant, its formula, domain, range , derivative, integral and graph. The reciprocal of the sine function is a trigonometric function , called the cosecant function. The reciprocal of the cosecant function is the sine function itself.

What is the reciprocal ratio of sine

The six trigonometric ratios are sine, cosine, tangent, cotangent, secant, cosecant, out of which the three standard trigonometric ratios are sine, cosine, and tangent. The six trigonometric ratios can be grouped in pairs as reciprocals. The reciprocal identities are the reciprocals of these six trigonometric ratios. Note that reciprocal identities are not the same as inverse trigonometric functions. Reciprocal identities are the reciprocals of the six fundamental trigonometric functions sine, cosine, tangent, secant, cosecant, and cotangent. It is obtained by interchanging the values of numerator and denominator. Similarly, we can find the reciprocal of each trigonometric ratio using their definitions. Example of reciprocal identity: The reciprocal of the sine ratio is cosecant. Reciprocal identities are used to simplify calculations in various trigonometry problems. The formulas for the six major reciprocal identities are as follows:.

Well no. Hence, cosecant is the reciprocal of sine.

Trigonometry is all about triangles or to be more precise about the relation between the angles and sides of a right-angled triangle. In this article, we will be discussing about the ratio of sides of a right-angled triangle with respect to its acute angle called trigonometric ratios of the angle and find the reciprocals of these Trigonometric Ratios. The trigonometric ratios of an acute angle in a right triangle are the relationship between the angle and the length of two sides. The ratios defined below are abbreviated as sin C, cos C, and tan C respectively. Reciprocals of basic trigonometric ratios are the inverse values of the sin, cos, and tan values that are computed by reciprocating the sides required for computing the ratio. You will see that cosec A, sec A, and cot A are respectively, the reciprocals of sin A, cos A, and tan A from the following diagrams and examples.

Suppose you want to build a ramp for access to a loading dock that is 4 feet above ground level. How long does the ramp have to be? In this diagram, you have a right triangle for which you know the length of one side and the measure of an acute angle. You want to find the length of the hypotenuse. You may know that the Pythagorean Theorem enables you to find the length of one side of a right triangle, given the lengths of the other two sides. Now you will learn trigonometry, which is a branch of mathematics that studies the relationship between angles and the sides of triangles. In fact, trigonometry will allow you to find unknown side lengths and angle measures in right triangles in a variety of cases, such as in the problem above. In trigonometry, this type of relationship between sides and angles is very important.

What is the reciprocal ratio of sine

If you're seeing this message, it means we're having trouble loading external resources on our website. To log in and use all the features of Khan Academy, please enable JavaScript in your browser. Search for courses, skills, and videos. The reciprocal trigonometric ratios. About About this video Transcript. Sal finds all six trigonometric ratios sine, cosine, tangent, secant, cosecant, and cotangent of an angle in a given right triangle. Created by Sal Khan.

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Share your suggestions to enhance the article. Improve Improve. Well in this context, what is the opposite side to angle A? Let me write that down. Rohen Giralt. Reciprocal of Trigonometric Ratios. In geometry, trigonometry is a branch of mathematics that studies the relationship between the sides and angles of a right-angled triangle. We use cookies to ensure you have the best browsing experience on our website. What is the full form of csc, sec and cot? Maths Program. Trigonometry is all about triangles or to be more precise about the relation between the angles and sides of a right-angled triangle. It's the darn notation that's screwy - not you. What are the 6 trigonometric ratios? Now let's go to cah.

The three basic trigonometric functions occur so often as the denominator of a fraction that it is convenient to give names to their reciprocals.

Help us improve. Brain Teasers. Sal finds all six trigonometric ratios sine, cosine, tangent, secant, cosecant, and cotangent of an angle in a given right triangle. Terms and Conditions. The ratios defined below are abbreviated as sin C, cos C, and tan C respectively. Class 10 Math Formulas Class Easy Normal Medium Hard Expert. It's the darn notation that's screwy - not you. Maths Program. Okay,so now we know how to calculate sin cosin and tangent. Well, we go across the triangle, it opens up onto side BC. Enhance the article with your expertise. Downvote Button navigates to signup page. The reciprocal of sine is the ratio of the hypotenuse and the opposite side of a right-angled triangle. Complete Tutorials.