Trigonometry: Getting Started - Trigonometric identities
This is a free lesson from our course in Trigonometry
 
   
This lesson introduces and walks you through the Trigonometric Identities. You'll learn it with the help of some examples, practice questions with solution, and watching video as well as explanations by the instructor in their hand writing. The trigonometric identities are equalities that involve trigonometric functions that are true for every single value of the occurring variables.Here you'll learn how these identities are useful when expressions involving trigonometric functions need to be simplified and put into application. (More text below video...)
<h2>Trigonometry - Getting started - Trigonometric identities</h2> <p>trigonometric identities, basic, trigonometric functions, video, Pythagorean Identities, sine, cosine, tangent, explanation, example, cotangent, secant, cosecant, trigonometry, value, variables, solution, identities, practice questions, quizzes, Pythagorean</p> <p>The trigonometric identities are equalities that involve trigonometric functions that are true for every single value of the occurring variables</p>
Other useful lessons:
Pythagorean Trigonometric Identity
Verifying Trigonometric Identities
(Continued from above) Some of the important trigonometric identities are:
Reciprocal Identities:
      csc  = 1/sin                sin  = 1/csc 
      sec = 1/cos               cos = 1/sec 
      tan = 1/cot               cot = 1/tan

Tangent and Cotangent Identities:
      tan  =  sin /cos
      cot  =  cos /sin

Pythagorean Identities:
       sin2  + cos2  = 1 
       tan2  + 1 = sec2
       1 + cot2  = csc2

Even/Odd Identities
        sin (- ) = - sin 
        cos(- ) = cos 
        tan (- ) = - tan

Sum and Difference Identities
        Sin(A-B) = sin A cos B – cos A sin B
        Cos(A-B)= cos A cos B + sin A Sin B

Double Angle Identities
        Sin2 = 2 sin cos
        cos 2 = cos2 – sin2 = 2cos2 -1=1- 2 sin2
        tan2 = 2tan/1-tan2
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