Fill in the blank. if necessary, use the slash mark (/) for a fraction bar.

if cos0=3/5, then tan0=

Given that cos θ=3/5, the value for tan θ will be obtain as follows:

cos θ=adjacent / hypotenuse

thus

from the information:

adjacent=3

hypotenuse=5

to obtain the opposite we use Pythagorean theorem,

c^2=a^2+b^2

plugging in the values we get:

5^2=a^2+3^2

a^2=5^2-3^2

a^2=25-9=16

a=4

thus

tan θ=opposite / adjacent=4/3