Answer:
The answer to your question is [tex]\frac{-8}{3}[/tex]
Step-by-step explanation:
Data
cos Ф = 3/5
tan2Ф = ?
Quadrant IV
Process
1.- Remember that tanФ = [tex]\frac{Opposite side}{Adjacent side}[/tex] and cos Ф = [tex]\frac{adjacent side}{hypotenuse}[/tex]
then, adjacent side = 3 and hypotenuse = 5
2.- Calculate opposite side
O² = h² - a²
O² = 5² - 3²
O² = 25 - 9
O² = 16
O = 4
3.- Calculate the tan 2Ф
tan 2Ф = 2([tex]\frac{-4}{3}[/tex]) The opposite side is negative in the fourth
quadrangle
tan 2Ф = [tex]\frac{-8}{3}[/tex]
