UPSKILL MATH PLUS

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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.