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    • Question

      If cot5A = tan(3A-14˚), find the value of A? Given that

      5A and 3A-14˚ are acute angles.
      A 12.75˚ Correct Answer Incorrect Answer
      B 13˚ Correct Answer Incorrect Answer
      C 14˚ Correct Answer Incorrect Answer
      D 12.5˚ Correct Answer Incorrect Answer

      Solution

      Always remember that cot & tan are compliment to each other So tan ɵ = cot( 90-ɵ) So it is given that cot5A = tan(3A-14˚) Hence 5A + 3A - 14˚= 90˚ So 8A - 14˚ = 90˚ or 8A = 90˚+14˚=104˚ or A = `104^@/8` = 13˚

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