Edexcel IALGeneralGeneral Applications7 Marks
Solve, for 0 ≤ x < 360°, the equation 3 tan x = 5 sin x.
Mark scheme
Marking points from the official mark scheme. The mark or mark type is shown in brackets.
- M1 for using tan x = sin x / cos x to get 3 sin x / cos x = 5 sin x.
- M1 for collecting terms on one side and factorising sin x (e.g., sin x (3/cos x - 5) = 0).
- A1 for correctly stating sin x = 0 or 3/cos x - 5 = 0 (or 3 = 5 cos x).
- B1 for sin x = 0 => x = 0°, 180°.
- M1 for solving 3 = 5 cos x to get cos x = 3/5.
- A1 for basic angle 53.1° (awrt 1 dp).
- A1 for x = 53.1°, 306.9° (awrt 1 dp, and no extra solutions in the range).
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