O-LevelAdditional MathematicsTrigonometry4037/12 · May/June 2014 · Q1111 Marks
Solve tan²x + 5 tan x = 0 for 0circ ≤ x ≤ 180circ.
- (a)Solve tan²x + 5 tan x = 0 for 0circ ≤ x ≤ 180circ.[3]
- (b)Solve 2 cos²y - sin y - 1 = 0 for 0circ ≤ y ≤ 360circ.[4]
- (c)Solve sec(2z - π/6) = 2 for 0 ≤ z ≤ π radians.[4]
Mark scheme
Marking points from the official mark scheme (May/June 2014). The mark or mark type is shown in brackets.
- [B1,B1] (a) B1 for each, must be from correct work
- [B1] (a) B1
- [M1] (b) M1 for use of correct identity and attempt to solve resulting 3 term quadratic equation.
- [A1,A1] (b) A1,A1
- [A1] (b) A1
- [M1] (c) M1 for dealing with sec correctly and obtaining π/3 or 1.05
- [A1] (c) A1
- [M1] (c) M1 for obtaining a second equation (2z - π/6) = 2π - their π/3 oe
- [A1] (c) A1
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