**Level: Advanced Undergraduate**

**Time Allowed: 1-2 days**

Singapore Maths Tuition - University and JC

Individual and small group maths tuition in Singapore - University and Junior College

**Level: Advanced Undergraduate**

**Time Allowed: 1-2 days**

**Level: Junior College / Undergraduate**

**Recommended Time Allowance: 30 to 45 minutes**

**Level: Senior High / University Year 1,2**

**Recommended Time Allowed: 45 minutes to 1 hour**

**Level: Undergraduate**

Given that x is a rational multiple of π, prove that cos(x) is algebraic.

(Solutions will be posted after two weeks)

2015 Question (1)

**Target level: JC and above**

**9724-0163** (**Mr Ng**)

**Ph.D. in Mathematics;B.Sc. First Class Honours in Mathematics**