Question

Calcula x si:
tan(5x - pi/5)cot(pi/70 -x)= 1​

Answer 1

Respuesta:

6,42°

Explicación paso a paso:

tan(5x - π/5)cot(π/70 -x)= 1​

Son recíprocos:

5x - π/5 = π/70 - x

5x+x = $\frac{\pi }{70}+\frac{\pi }{5}$

6x = $\frac{5\pi+70\pi }{5.70}$

6x = $\frac{75\pi }{350}$

x = $\frac{75\pi }{350}.\frac{1}{6}$

(π es igual a 180° en el sistema sexagesimal)

x = $\frac{75.180}{350.6}$

x = $\frac{3.180}{14.6}$

x = $\frac{3.30}{14}$

x = $\frac{3.15}{7}$

x = 6,42°