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True or False: As the value of cos(x) approaches 1 and the value of sin(x) approaches 0, the value of tan(x) approaches infinity

Respuesta :

facundo3141592

Answer: False

Step-by-step explanation:

We can write tan(x) = sin(x)/cos(x)

if cos(x) tends to 1, and sin (x) tends to 0 (this happens aronund the point x = 0)

then we have:

Tan(x) = 0/1 = 0

Then the statement is false, as cos(x) approaches 1 and sin(x) approaches 0, tan(x) also approaches 0.