(a) In an arithmetic progression the sum of the first five terms is 30 and the third term is equal to the sum of the first two terms. Write down the first five terms of the progression. [6 marks]

(b) Solve the equation sec2? = 3tan ? – 1 giving values of ? from ?0 to 3600 [7 marks]

(c) The roots of the equation 2×2 – 4x + 1 = 0 are ? and ß. Find an

equation with integral coefficients whose roots are , and

[7 marks]

 

 

 

 

 

 

 

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