# Reciprocal Trigonometric Ratios

For most purposes the slides can be printed as Handouts with up to 6 slides per sheet. 0 θ π 2 0circ theta frac pi 2 0 θ 2π.

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### The Reciprocal Trigonometric Ratios.

Reciprocal trigonometric ratios. Download and print our reciprocal trigonometric ratios chart to benefit students while solving these worksheets. The printable high school worksheets include finding reciprocal trigonometric ratios using segments and lengths indicating reciprocal trigonometric ratios evaluate trigonometric expressions and so on. 3 Alternatively we can define secant cosecant and cotangent in the following manner.

Here the pairs of trigonometric relations are given between which we have reciprocal relation. Beginalign textcosec theta frac1sintheta sectheta frac1costheta cot theta frac1tantheta endalign. Cosecant cosec secant sec and cotangent cot are defined as follows.

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. Sin θ csc θ. Google Classroom Facebook Twitter.

Each of the three trigonometric ratios has a reciprocal. Let OMP be a right angled triangle at M and MOP θ. Reciprocal relations of trigonometric ratios are explained here to represent the relationship between the three pairs of trigonometric ratios as well as their reciprocals.

We will define all of these ratios in the following ways. This is the currently selected item. RECIPROCAL RELATION OF TRIGONOMETRIC RATIOS.

Free samples are also included. X 6 6 Reciprocal Trig Ratios Reciprocal Trig Ratios. Cosecant cosec secant sec sec and cotangent cot cot are defined as follows.

Each of the three trigonometric ratios has a reciprocal. Secant cosecant and cotangent. In the six trigonometric ratios sin cos tan csc sec and cot there is a reciprocal relation among them.

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. Finding reciprocal trig ratios. Using reciprocal trig ratios.

Created by Sal Khan. Given the following triangle. For our general purposes we sometimes use the reciprocal trigonometric ratios and functions.

There exist six trignometric ratios sin cos tan cot sec and cosec and they are as follows 1sin θ Perpendicularhypotenuse BCAC 2cos θ base hypotenuse ABAC 3tan θ perpendicularbase BCAB 4cot θ base perpendicular ABBC 5sec θ hypotenuse base ACAB. Answer key Trigonometric Ratios D E F 53 45 28 U W V 4 3 2 7 2 5 K J L 89 39 80 P Q R 10 8 6 csc F sec F cot F 53 45 53 28 28 45 csc L sec L cot L 89 39 89 80 80 39 csc R sec R cot R 5 4 5 3 3 4 cot V csc V sec V 7. Reciprocal Relation Between Trigonometric Ratios problems practice tests worksheets questions quizzes teacher assignments Grade 10 National Curriculum.

Reciprocal Relations of Trigonometric Ratios Reciprocal relations of trigonometric ratios are explained here to represent the relationship between the three pairs of trigonometric ratios as well as their reciprocals. Reciprocal trig ratios Learn how cosecant secant and cotangent are the reciprocals of the basic trig ratios. Cosec θ 1 sinθ secθ 1 cos θ cotθ 1 tanθ cosec θ 1 sin.

There are three reciprocal trigonometric functions making a. Sine cosine and tangent. Recall that the trigonometric functions relate the angles in a right triangle to the ratios of the sides.

Often it is useful to use the reciprocal ratios depending on the problem. Find all the three reciprocal trigonometric ratios for the mentioned angle. The reciprocal trigonometric ratios.

Sal finds all six trigonometric ratios sine cosine tangent secant cosecant and cotangent of an angle in a given right triangle. The following slides contain repeats of information on earlier slides shown without colour so that they can be printed and photocopied. Reciprocal Trigonometric Ratios and Functions.

In plain English the reciprocal of a fraction is found by turning the fraction upside down cosecant θ is the reciprocal of sine θ secant θ is.

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