Trigonometry: The six trigonometric functions
This is a free lesson from our course in Trigonometry
 
   
This lesson content introduces and walks you through the basic concept, relations and properties used to find the trigonometric values of any angle. You'll learn it with the help of some examples, practice questions with solution, and video explanation by the instructor.
A triangle in which one angle is a right angle 90. If is the acute angle of a right triangle, the horizontal leg of the triangle is called 'adjacent' and denoted by x. The vertical leg is known as 'opposite' which is denoted by y and the other remaining leg is called the 'hypotenuse' which is usually denoted by r. (More text below video...)
<h2>Trigonometry - The six trigonometric functions</h2> <p>trigonometric functions, acute angle, right triangle, example, solution, formula, relationship, right triangle, trigonometric identities, video, sine, cosine, tangent, cosecant, secant, cotangent, cos, sin, cot, tan, sec, csc, trigonometry, adjacent, opposite, trigonometric functions, math help, practice questions, quizzes.</p> <p>sine (theta) = opposite/hypotenuse = y/r, cosine (theta) = adjacent/hypotenuse = x/r, tangent (theta) = opposite/adjacent = y/x, cosecant (theta) = hypotenuse/opposite = r/y, secant (theta) = hypotenuse/adjacent = r/x, cotangent (theta) = adjacent/opposite = x/y.</p>
Other useful lessons:
Solving Right Triangles
(Continued from above) The six trigonometric functions of are as follows:
         sine () = opposite/hypotenuse =  y/r.
          cosine () = adjacent/hypotenuse = x/r.
          tangent () = opposite/adjacent = y/x.
          cosecant () = hypotenuse/opposite = r/y.
          secant () = hypotenuse/adjacent = r/x.
          cotangent () = adjacent/opposite = x/y.
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