Answer :

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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