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COMEDK2020MathematicsTrigonometric Equations

If 3 = , how many solutions exist such that -2 < < 2 ?

Options

  1. A9
  2. B8
  3. C7
  4. D5

Correct answer

A. 9

Step-by-step solution

We have, aligned & 3 = & 3 -4 ³ = & 4 ³ -2 =0 & 2 (2 ² -1 )=0 & =0 or = 1 2 & If =0 and if = 1 2 & =0, ,- & , 3 4 , -5 4 , -7 4 , - 4 , -3 4 , 5 4 , 7 4 aligned There are nine solutions.

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