Question

resolver tgx+ctgx=3√2

Answer 1

Respuesta:

x = 0.25

Explicación:

tg(x) + ctg(x)=3√2

sen(x) / cos(x) + cos(x) / sen(x) = 3√2

(sen²(x) + cos²(x)) / (cos(x)sen(x)) =  3√2

1 / cos(x)sen(x) = 3√2

cos(x)sen(x) = 1 / 3√2

2cos(x)sen(x) = 2 / 3√2

sen(2x) = 2 / 3√2

2x = arcsen( 2 / 3√2)

x = arcsen( 2 / 3√2) / 2

x = 0.25