Question

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

quadrant IV, what is the value of tan ?

Answer 1

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)`