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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 ╔╡ = cos( 90-╔╡) 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 =┬а = 22┬░

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