You can use the identity
cos(x)² +sin(x)² = 1
to find sin(x) from cos(x) or vice versa.
(1/4)² +sin(x)² = 1
sin(x)² = 1 - 1/16
sin(x) = ±(√15)/4
Then the tangent can be computed as the ratio of sine to cosine.
tan(x) = sin(x)/cos(x) = (±(√15)/4)/(1/4)
tan(x) = ±√15
There are two possible answers.
In the first quadrant:
sin(x) = (√15)/4
tan(x) = √15
In the fourth quadrant:
sin(x) = -(√15)/4
tan(x) = -√15
Answer:
8x + 9
Step-by-step explanation:
The total number of people splitting the cost equally = Rocco and five friends = 6 people
The total cost to play paintball can be represented by the expression (48x+54)
The cost for each person is calculated as: The total cost to play paintball/ Total number of people
= (48x+54)/6
= 48x/6 + 54/6
= 8x + 9
Therefore, the cost for each person is
8x + 9
- - - - - - - - - - - - - - - - - - -
-4m +18-6=0
-4m+12=0
-4m=-12
m=3
