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hello, there is 3 questions in part B, please answer 3

Part B - Thinking and Investigation [TI - 24 marks] "Show ALL of your work. 1. Solve the following inequalities using an algebraic method, \( \checkmark \checkmark \checkmark \& \checkmark \checkmark \checkmark \) a) \( 3 x^{3}-x^{2}-3 x+1 \leq 0 \) b) \( \frac{1}{x+2} \leq \frac{2}{3 x+1} \) 2. Express \( \log \left(x^{2}-x-12\right)-\log \left(x^{2}-7 x+12\right) \) as a single logarithm. State any restrictions on the variable? 3. Prove that \( \frac{1-\cos 2 x+\sin 2 x}{1+\cos 2 x+\sin 2 x}=\tan x \) is an identity. \( \checkmark \checkmark \checkmark \)

3. We know that, the formulas cos?2A

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