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      Question

      If sin3A = cos(A-26), then what is the value of A? Given

      that 3A is an acute angle.
      A 20 Correct Answer Incorrect Answer
      B 21 Correct Answer Incorrect Answer
      C 29 Correct Answer Incorrect Answer
      D 25 Correct Answer Incorrect Answer
      E none of these Correct Answer Incorrect Answer

      Solution

      Always remember that sin & cos are compliment to each other So sin ɵ = cos( 90-ɵ)  So it is given that sin3A = cos(A-26) Hence 3A + A-26° = 90° So 4A-26° = 90° or 4A =90°+26° =116 or A = = 29°

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