Question

Si se tiene que senθ=3/5 , el valor de la función tanθ .

Answer 1

sen²$\alpha$+cos²$\alpha$=1
tag$\alpha = \frac{sen \alpha }{ycos \alpha }$

($\frac{3}{5}$)²+cos²$\alpha$=1
cos²$\alpha$=1-$\frac{9}{25}$
cos²$\alpha$=$\frac{16}{25}$
cos$\alpha$=$\frac{4}{5}$

tag$\alpha$=$\frac{ \frac{3}{5} }{ \frac{4}{5} }$
tag$\alpha$=$\frac{3}{4}$