PDF chapter test TRY NOW

1. Prove that sin^6 \ \theta + cos^6 \ \theta + 3 \ sin^2 \ \theta \ cos^2 \ \theta = 1.
 
2. Prove that (sin^4 \ \theta - cos^4 \ \theta + 1) cosec^2 \ \theta = 2.
 
Important!
This is a creative exercise. Your teacher will check it manually.