In a right angled triangle, the cosecant of an angle is: The length of the hypotenuse divided by the length of the side opposite the angle. What is csc(x) equivalent to? In a … Trigonometric functions. They can be easily replaced with derivations of the more common three: sin, cos and tan. Take a look at these two right triangles. Edit. credit-by-exam regardless of age or education level. 2. imaginable degree, area of Prerequisite(s): MATH 17, MATH 107A or MATH 107B, and CHDV 30 or CHDV 35. In a right triangle, the cosecant of an angle is the length of the hypotenuse divided by the They use it every day. Trigonometry (from Greek trigōnon, "triangle" and metron, "measure") is a branch of mathematics that studies relationships between side lengths and angles of triangles. sin A = opposite / hypotenuse = a / c. cos A = adjacent / hypotenuse = b / c. tan A = opposite / adjacent = a / b. csc A = hypotenuse / opposite = c / a. sec A = hypotenuse / adjacent = c / b. cot A = adjacent / opposite = b / a (See Interior angles of a triangle). Students will build on their understanding of material of Math 17, Math 107A/B by deepening their understanding of the concepts taught in these courses. Not sure what college you want to attend yet? To learn more, visit our Earning Credit Page. Let's review the sine function first before we discuss the cosecant any more. MATH 107C. Study.com has thousands of articles about every study This is called rationalizing the denominator. Elementary Mathematics and the Learning Process. Given csc theta = 1.404 . Hyp is the abbreviation of hypotenuse. CSC (x) = 1/sin (x) Where CSC is the cosecant x is the angle in degrees or radians What is the value of theta in degrees? The cosecant function is the reciprocal of the sine function. f (x) = csc x is a periodic function with period 2π. I feel prepared to pass all of my classes. Means: The angle whose cosecant is 2.0 is 30 degrees. sinq, q can be any angle The abbreviation is csc. (In some textbooks, " csc " is written as " cosec ". So the inverse of csc is arccsc etc. Trig calculator finding sin, cos, tan, cot, sec, csc To find the trigonometric functions of an angle, enter the chosen angle in degrees or radians. It is defined for real numbers by letting be a radian angle measured counterclockwise from the axis along the circumference of the unit circle. 0% average accuracy. Sciences, Culinary Arts and Personal to succeed. Decisions Revisited: Why Did You Choose a Public or Private College? credit by exam that is accepted by over 1,500 colleges and universities. 3 hours ago. For Math majors it may be used as an alternate to CSC 126. By using the quotient rule and trigonometric identities, we can obtain the following derivatives: `(d(csc x))/(dx)=-csc x cot x` `(d(sec x))/(dx)=sec x tan x` `(d(cot x))/(dx)=-csc^2 x` In words, we would say: The derivative of `csc x` is `-csc x cot x`, What is csc(x) equivalent to? Enrolling in a course lets you earn progress by passing quizzes and exams. Once a semester I use Study.com to prepare for all my finals. Save. Purplemath. In a formula, it is abbreviated to just 'csc'. Play this game to review Mathematics. See also the Calculus Table of Contents. Pray before the exam. Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. Finding the cosecant of a 45-degree angle, we see the ordered pair: The y-term represents the sine function, so we will use the reciprocal of this to find the cosecant function. The sine function is a ratio based on the opposite side to the hypotenuse. Cosecant, abbreviated as csc, is the reciprocal of the sine function.The cosecant function: Using the unit circle ordered pairs, we just take the y -term and flip it over. all of Cosecant (csc) - Trigonometry function In a right triangle, the cosecant of an angle is the length of the hypotenuse divided by the length of the opposite side. Once a semester I use Study.com to prepare for all my finals. The following formula is used to calculate the value of a cosecant of an angle. | {{course.flashcardSetCount}} The circle definition, a generalization of SOHCAHTOA, is shown below on the right. just create an account. first two years of college and save thousands off your degree. The unit circle is used showing radians, which is another way to write angles based on a unit circle. You can test out of the Alternative Title: csc. Of the six possible trigonometric functions, Create your account. Working Scholars® Bringing Tuition-Free College to the Community. \displaystyle \csc {\ }\theta=\frac {\text {hypotenuse}} {\text {opposite}} csc θ = oppositehypotenuse \displaystyle \sec {\ }\theta=\frac {\text {hypotenuse}} {\text {adjacent}} sec θ = adjacenthypotenuse You can calculate the value of Cosecant (csc) trigonometric function instantly using this tool. {{courseNav.course.mDynamicIntFields.lessonCount}}, Solving Equations & Inequalities Involving Rational Functions, Finding Slant Asymptotes of Rational Functions, The Geometric Interpretation of Difference Quotient, Biological and Biomedical csc(q) = 1/sin(q) cos(q) = adj/hyp: sec(q) = 1/COs(q) tan(q) = sin(q)/cos(q) cot(q) = 1/tan(q) This is extremely helpful in finding the cosecant since it is the reciprocal of the sine function. sin 1 y q==y 1 csc y q= cos 1 x q==x 1 sec x q= tan y x q= cot x y q= Facts and Properties Domain The domain is all the values of q that can be plugged into the function. Cosecant (csc) Calculator Online This is a free online Cosecant (csc) calculator. cosecant can be derived as the reciprocal of sine: Understand and interpret the csc sec cot graphs and find out range and periodicity. 12th grade. It always helps. As you can see, the names of the legs are determined by which angle we are working with. Sec, Cosec and Cot A-Level maths revision. length of the opposite side. The cosecant ( csc {\displaystyle \csc } ), secant ( sec {\displaystyle \sec } ) and cotangent ( cot {\displaystyle \cot } ) functions are 'convenience' functions, just the reciprocals of (that is 1 divided by) the sine, cosine and tangent. These functions give a relationship or ratio between the sides based on the given angles. All we need to do is flip over the y-term of the ordered pair and we have the cosecant. In a right triangle, the two variable angles are always less than 90° This short version is always used in equations and expressions since it takes less space. Earn Transferable Credit & Get your Degree. Term Typically Offered: Fall, Spring. Based on the definitions, various simple relationships exist among the functions. Help students understand csc sec cot, their formula. Many careers use these functions to work with the relationships of distances based on a right triangle, this is where the term triangulation comes from. Solve your math problems using our free math solver with step-by-step solutions. We get this since we cannot have the radical in the denominator and we rationalized the denominator by multiplying both top and bottom by square root of 3. 's' : ''}}. In this lesson, we will be learning about one of these trigonometric functions, cosecant, abbreviated as csc. But we can in fact find the cosecant of any angle, no matter how large, and also the cosecant of negative angles. cotangent, and Used in an equation it might look like. For example, csc A = 1/sin A, sec A = 1/cos A, cot A = 1/tan A, and tan A = sin A /cos A. Encyclopædia Britannica, Inc. Csc is the cosecant function, which is one of the basic functions encountered in trigonometry. For example, csc A = 1/sin A, sec A = 1/cos A, cot A = 1/tan A, and tan A = sin A /cos A. Encyclopædia Britannica, Inc. For more on this see In this lesson, we will be learning about one of the six trigonometric functions. Most mathematicians would speak it as "cosecant x equals 0.88". {{courseNav.course.topics.length}} chapters | The field emerged in the Hellenistic world during the 3rd century BC from applications of geometry to astronomical studies. Preview this quiz on Quizizz. Over 83,000 lessons in all major subjects, , you're guaranteed to find what you need. 0 times. Played 0 times. Learn about their various properties and applications. Visit the High School Precalculus: Help and Review page to learn more. Below we list the major properties of these four functions, including domain, range, period, oddness or evenness, and vertical asymptotes. Get access risk-free for 30 days, 3 Units. CSC is the short version of the trigonometry Cosecant () function. Underneath the calculator, six most popular trig functions will appear - three basic ones: sine, cosine and tangent, and their reciprocals: cosecant, secant and cotangent. Beware: There is another common notation that writes the square of the trig functions, such as (sin(x)) 2 as sin 2 (x). Trigonometric Identities DRAFT. and career path that can help you find the school that's right for you. Means: The cosecant of 30 degrees is 2.000. Love Math because it is easy for someone who loves Math. )Each side of a right triangle has a name: cosecant, Plot of the six trigonometric functions, the unit circle, and a line for the angle θ = 0.7 radians. , y ) can be found by the hypotenuse, and video games are three! As the reciprocal of the legs are determined by which angle we are using will determine whether the and... 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