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Year 12 Class Test on Year 2 Trig & Differentiation, Mon 06 June 2022 Total marks: 50 Time allowed: 1 hour Q1. 12 4 cm

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Year 12 Class Test on Year 2 Trig & Differentiation, Mon 06 June 2022 Total marks: 50 Time allowed: 1 hour Q1. 12 4 cm 2.1 rad Fig. 6 A circle with centre ( has radius 12.4 cm. A segment of the circle is shown shaded in Fig. 6. The segment is bounded by the are AB and the chord AB, where the angle AOB is 2.1 radians. Calculate the area of the segment. 141 Q2. a Given that sec x + tan.x = -3, use the identity 1 + tan x = sec2x to find the value of sec x - tan.x. (3 marks) b Deduce the values of: i sec x ii tan x (3 marks) c Hence solve, in the interval -180 5 x

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