Sources: Visual - various maths sites (credits to original creator) Questions - Dong Zong's Textbook suitable for SUEC (Maths), SPM (Maths and Add Maths) too

1. 𝒑𝒈 𝟐𝟒𝟑 − 𝟐𝟒𝟒

2. 𝒑𝒈 𝟐𝟒𝟓
𝟏𝟓 𝟑 − 𝟖
𝟑𝟒
𝟑𝟓 − 𝟔
𝟏𝟐
𝟑 𝟓 + 𝟐 𝟕
𝟏𝟐
− 𝟓 𝟑 ± 𝟏𝟐
𝟐𝟔
−
𝟖𝟓
𝟖𝟒
𝟓𝟔
𝟔𝟓
−
𝟔𝟑
𝟔𝟓

3. 𝒑𝒈 𝟐𝟒𝟒 − 𝟐𝟒𝟒

4. 𝒑𝒈 𝟐𝟒𝟒

5. 𝒑𝒈 𝟐𝟒𝟓

6. 𝒑𝒈 𝟐𝟒𝟓

7. 𝒑𝒈 𝟐𝟒𝟓
𝑠𝑖𝑛 ∝ +
𝜋
4
= 𝑠𝑖𝑛 𝛼 𝑐𝑜𝑠
𝜋
4
+ 𝑐𝑜𝑠 𝛼 𝑠𝑖𝑛
𝜋
4
= 𝑠𝑖𝑛 𝛼
2
2
+ 𝑐𝑜𝑠 𝛼
2
2
=
2
2
𝑠𝑖𝑛 𝛼 + 𝑐𝑜𝑠 𝛼

8. 𝒑𝒈 𝟐𝟒𝟓
𝑠𝑖𝑛
5𝜋
6
− 𝛼 + 𝑠𝑖𝑛
5𝜋
6
+ 𝛼
= 𝑠𝑖𝑛
5𝜋
6
𝑐𝑜𝑠 𝛼 + 𝑐𝑜𝑠
5𝜋
6
𝑠𝑖𝑛 𝛼 + 𝑠𝑖𝑛
5𝜋
6
𝑐𝑜𝑠 𝛼 − 𝑐𝑜𝑠
5𝜋
6
𝑠𝑖𝑛 𝛼
= 2 𝑠𝑖𝑛
5𝜋
6
𝑐𝑜𝑠 𝛼
= 2 𝑠𝑖𝑛 30 ° 𝑐𝑜𝑠 𝛼
= 2
1
2
𝑐𝑜𝑠 𝛼
= 𝑐𝑜𝑠 𝛼

9. 𝒑𝒈 𝟐𝟒𝟓
𝑐𝑜𝑠 2𝐴
𝑠𝑒𝑐 𝐴
−
𝑠𝑖𝑛 2𝐴
𝑐𝑜𝑠𝑒𝑐 𝐴
= 𝑐𝑜𝑠 2𝐴 𝑐𝑜𝑠 𝐴 − 𝑠𝑖𝑛 2𝐴 𝑠𝑖𝑛 𝐴
= 𝑐𝑜𝑠 (2𝐴 + 𝐴)
= 𝑐𝑜𝑠 3𝐴

10. 𝒑𝒈 𝟐𝟒𝟔 − 𝟐𝟒𝟗

11. 𝒑𝒈 𝟐𝟒𝟔 − 𝟐𝟒𝟗
𝟏
𝟑
𝟑
𝟐 + 𝟑 − 𝟐 + 𝟑

12. 𝒑𝒈 𝟐𝟒𝟔 − 𝟐𝟒𝟕

13. 𝒑𝒈 𝟐𝟒𝟗
1
𝟑
−
13
85
−
𝟕𝟕
36

14. 𝒑𝒈 𝟐𝟒𝟖

15. 𝒑𝒈 𝟐𝟒𝟗

16. 𝒑𝒈 𝟐𝟒𝟖