PDF chapter test TRY NOW

Prove the following:
 
1. If \(tan \ A = \frac{3}{4}\), then \(sin \ A \ cos \ A = \frac{12}{25}\).
 
2. \((\sqrt{3} + 1)(3 - cot \ 30^{\circ}) = tan^3 \ 60^{\circ} - 2 \ sin \ 60^{\circ}\).
 
Important!
This is a creative exercise. Your teacher will check it manually.