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Unit 2: Trigonometric Functions-II




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          2.3 Some Important Trigonometric Equations

          You  are  well–known with  the  equations  like  simple  linear  equations,  quadratic  equations  in
          algebra.
          You must have also learnt how to solve this type of equations.
          Thus,

          (i)   x  3 = 0 gives one value of x as a solution.
                2
          (ii)   x   9 = 0 gives two values of x.
          You must have noticed, the number of values depends upon the degree of the equation.
          Now we require thinking as to what will happen in case x’s and y’s are replaced by trigonometric
          functions.
          Thus solution of the equation sin   1 = 0, will give
          sin   = 1 and  /2,  /5, 9 /2, …………

          Obviously,  the  solution  of  simple  equations  with  only  finite  number  of  values  does  connot
          essentially hold good in case of trigonometric equations.
          So, we will try to find the ways of finding solutions of such equations.




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