AQA AS Paper 1 Specimen — Question 5 2 marks

Exam BoardAQA
ModuleAS Paper 1 (AS Paper 1)
SessionSpecimen
Marks2
TopicTrig Equations

5 Jessica, a maths student, is asked by her teacher to solve the equation \(\tan x = \sin x\), giving all solutions in the range \(0 ^ { \circ } \leq x \leq 360 ^ { \circ }\) The steps of Jessica's working are shown below. $$\begin{aligned} & \tan x = \sin x
& \text { Step } 1 \Rightarrow \frac { \sin x } { \cos x } = \sin x \quad \text { Write } \tan x \text { as } \frac { \sin x } { \cos x }
& \text { Step } 2 \Rightarrow \sin x = \sin x \cos x \quad \text { Multiply by } \cos x
& \text { Step } 3 \Rightarrow 1 = \cos x \quad \text { Cancel } \sin x
& \Rightarrow \quad x = 0 ^ { \circ } \text { or } 360 ^ { \circ } \end{aligned}$$ The teacher tells Jessica that she has not found all the solutions because of a mistake.
Explain why Jessica's method is not correct.
[0pt] [2 marks]