Question

Cos 0 = 5. Find tan 0.
A) 12/15
B) 9/15
C) 12/9
D) 15/12

Answer 1

C

Explanation:

given

cosΘ =
`(9)/(15)` =
`(adjacent)/(hypotenuse)`

then to find the third side (opposite) use Pythagoras' identity

opposite² + 9² = 15²

opposite² + 81 = 225 ( subtract 81 from both sides )

opposite² = 144 ( take square root of both sides )

opposite =
`√(144)` = 12

then

tanΘ =
`(opposite)/(adjacent)` =
`(12)/(9)`