Question

Giúp em với mn ơi, câu này khó quá

Answer 1

\(1+cota+cot^2a+cot^3a\)

\(=1+\dfrac{cosa}{sina}+\dfrac{cos^2a}{sin^2a}+\dfrac{cos^3a}{sin^3a}\)

\(=\left(1+\dfrac{cosa}{sina}\right)\left(1+\dfrac{cos^2a}{sin^2a}\right)\)

\(=\dfrac{sina+cosa}{sina}.\dfrac{sin^2a+cos^2a}{sin^2a}\)

\(=\dfrac{cosa+sina}{sin^3a}\)