
5.1Given that sin23° = √k, determine, in its simplest form, the value of each of the following in terms of k, WITHOUT using a calculator:

5.1.1sin 203°(2)

5.1.2cos 23°(3)

5.1.3tan(23°)(3)


5.2Simplify the following expression to a single trigonometric function:
4cos(x).cos(90° + x) sin(30°  x).cosx + cos(30°  x).sinx (6) 
5.3Determine the general solution of cos2x = 7cosx  3 = 0(6)

5.4Given that sinθ = ^{1}⁄_{3}, calculate the numerical value of sin3θ, WITHOUT using a calculator.(5)
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[{"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":""}]