1. 5.1
    Given that sin23° = √k, determine, in its simplest form, the value of each of the following in terms of k, WITHOUT using a calculator:
    1. 5.1.1
      sin 203°
      (2)
      1. 5.1.2
        cos 23°
        (3)
        1. 5.1.3
          tan(-23°)
          (3)
        2. 5.2
          Simplify the following expression to a single trigonometric function:

          4cos(-x).cos(90° + x)
          sin(30° - x).cosx + cos(30° - x).sinx
          (6)
          1. 5.3
            Determine the general solution of cos2x = 7cosx - 3 = 0
            (6)
            1. 5.4
              Given that sinθ = 13, calculate the numerical value of sin3θ, WITHOUT using a calculator.
              (5)
              (24)
              [{"prnt":"5.1","num":"5.1.1","answer":""},{"prnt":"5.1","num":"5.1.2","answer":""},{"prnt":"5.1","num":"5.1.3","answer":""},{"prnt":"5","num":"5.2","answer":""},{"prnt":"5","num":"5.3","answer":""},{"prnt":"5","num":"5.4","answer":""}]

              Answers

                1. 5.1.1
                2. 5.1.2
                3. 5.1.3
                4. 5.2
                5. 5.3
                6. 5.4
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