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Given cos = 7/25, where is an angle in standard position terminating in

quadrant IV, what is the value of tan ?

1 Answer

3 votes

Answer:

tanΘ = -
(24)/(7)

Explanation:

Given

cosΘ =
(7)/(25) =
(adjacent)/(hypotenuse)

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 = -
(24)/(7)

User Eliezer
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