Quelpr
3 marksTrigonometry

CAPE Integrated Mathematics · 2016 · Paper 2 · Question 2(b)(ii)

Determine the minimum value of f(theta) = 2 sin(theta + pi/3) - 1.

The mark scheme is shown once you've answered.

Practise this question

Other parts of this question

  1. 2(a)(i)Given that f(x) = 2 ln x^2 - ln x, show that f(x) can be rewritten as f(x) = ln x^3.[3 marks]
  2. 2(a)(ii)Hence, solve the equation 2 ln x^2 = 2 + ln x, giving your answer correct to 2 decimal places.[5 marks]
  3. 2(b)(i)Solve the equation 2 sin(theta + pi/3) - 1 = 0 for 0 <= theta <= pi.[5 marks]
  4. 2(c)A length of string is cut into 10 pieces such that the shortest and longest pieces measure 0.2 metres and 1 metre, respectively. When the 10 pieces are…[3 marks]
  5. 2(d)A system of linear equations models the cost of computers from three manufacturers: 2x + y + z = 1200 x + 4y + z = 1900 3x + 2z = 1600 Using Cramer's rule or…[6 marks]

More practice: the rest of this paper · more Trigonometry questions · all CAPE Integrated Mathematics past papers