Question

(cos alpha)/(1 + sin alpha) + tan alpha спростити вираз ​

Answer 1

$\frac{cos\alpha }{1+sin\alpha } + tg\alpha = \frac{cos\alpha}{1+sin\alpha}+\frac{sin\alpha}{cos\alpha} = \frac{cos^{2}\alpha +sin^{2}\alpha+sin\alpha }{cos\alpha(1+sin\alpha)}= \frac{1+sin\alpha}{cos\alpha(1+sin\alpha)}= \frac{1}{cos\alpha}$