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]