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      Question

      If sin2A = cos(A+24°), then what is the value of A?

      Given that 2A is an acute angle.
      A 16 Correct Answer Incorrect Answer
      B 22 Correct Answer Incorrect Answer
      C 29 Correct Answer Incorrect Answer
      D 24 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 sin2A = cos(A+24°) Hence 2A + A+24° = 90° So 3A+24° = 90° or 3A =90°-24° =66° or A =  = 22°

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