Complex Numbers Exercises from AQA Pure 2 – Cambridge University Press
Question 1
[cos 2𝜃 = 2 cos2 𝜃 − 1; 2𝑐 2 − (1 +
√3
)
2
1
= 0; 2 √2 + √3]
Question 2
[𝜃 = 𝑘𝜋/18 where 𝑘 = 1, 13, 25 or 𝑘 = 5, 17, 29; 5𝜋/18, 25𝜋/18]
Question 3
[tan 4𝜃 = (4𝑡 − 4𝑡 3 )/(1 − 6𝑡 2 + 𝑡 4 ), tan 3𝜃 = (3𝑡 − 𝑡 3 )/(1 − 3𝑡 2 )]
Question 4
[√7/8]