brattyangelz1p7eamx brattyangelz1p7eamx
  • 15-06-2020
  • Mathematics
contestada

Given cos = 7/25, where is an angle in standard position terminating in
quadrant IV, what is the value of tan ?

Respuesta :

jimrgrant1 jimrgrant1
  • 15-06-2020

Answer:

tanΘ = - [tex]\frac{24}{7}[/tex]

Step-by-step explanation:

Given

cosΘ = [tex]\frac{7}{25}[/tex] = [tex]\frac{adjacent}{hypotenuse}[/tex]

The right triangle has sides 7, 24, 25 ← Pythagorean triplet

with adjacent = 7 and opposite = 24

Since position is in fourth quadrant then tanΘ < 0 , thus

tanΘ = - [tex]\frac{24}{7}[/tex]

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