(a) Write 3cos? + 4sin? in the form Rcos(? – ?), and hence solve the equation 3cos? + 4sin? = 2 [9 marks]
(b) The following frequency table gives the heights to the nearest centimetre of 100 school boys.
Height (cm) 152 153 154 155 156 157 158 159 160 161
Number of boys 1 2 3 4 6 8 16 23 14 11
162 163 164 165 Total
6 4 1 1 100
Find:
(i) The mode. [2 marks]
(ii) The mean. [2 marks]
(iii) The median. [3 marks]
(iv) The standard deviation. [4 marks
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