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### Questions (41)

 7 Expressing $\sin(2x)-8\cos(2x)$ as a single sine function 6 Binomal theorem show that $\binom{n}{0}+\binom{n}{2}+\binom{n}{4}+\dots=\binom{n}{1}+\binom{n}{3}+\binom{n}{5}+\dots=2^{n-1}$ 5 Proof that ${2}^{3n+2}+{5}^{n+1}\text { is divisible by 3}$ using induction 3 Simplifying $(\neg x\land \neg y \land \neg z) \lor (\neg x\land \neg y \land z) \lor (x\land \neg y \land z) \lor ( x\land y \land z)$ 3 Basic angle geometry question

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 +5 Rank of a linear map $f: \mathbb{R}^n \to \mathbb{R}^m$ is equal to $m$? +3 Proving merge sort is $O(n^2)$ using induction +5 Vector space span theorem +5 Simplifying $(\neg x\land \neg y \land \neg z) \lor (\neg x\land \neg y \land z) \lor (x\land \neg y \land z) \lor ( x\land y \land z)$

 3 How to simplify this rational expression?

### Tags (33)

 3 rational-functions 0 algebra-precalculus × 3 0 propositional-calculus × 5 0 complex-numbers × 3 0 linear-algebra × 5 0 logic × 3 0 induction × 4 0 discrete-mathematics × 2 0 trigonometry × 3 0 probability × 2

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