From the trigonometry:
tan θ = (sin θ) / (cos θ)
cot θ = (cos θ) / (sin θ)
∴ tan θ + cot θ = (sin θ) / (cos θ) + (cos θ) / (sin θ)
= [ sin² θ + cos² θ]/( sin θ cos θ) = 1 /( sin θ cos θ )
note : sin² θ + cos² θ = 1
Sin x = b/c
Cos x = a/c
Tan x = b/a
Step-by-step explanation:
Step one:
The farmer sells his corn for $230 a metric ton
small surcharge = $25.
let the amount per metric ton be x
and let the total cost per x metric ton be y
the total cost function is
y=230x+25--------------1
The neighbor sells her corn for $230 a metric ton
he gives $15 rebate------<em>A rebate is a partial refund of the cost of an item</em>
let the amount per metric ton be x
and let the total cost per x metric ton be y
the total cost function is
y=230x-15----------------2
Step two:
Equating the two equation above
230x+25=230x-15
230x-230x=25+15
0=40
The result shows that based on the cost function of both farmer, there will never be an amount of corn that would make them have the same cost
First, get y by itself by adding 8 to both sides: y=-x+8
According to the equation, the slope is -1 and the y-intercept is 8 when we match it up with y=mx+b form.
Hope this helped!
Let steph score be x
Then kyrie score is 2x-5
Sum of the two scores is 55
Therefore x+2x-5=55
3x-5=55
3x=60
x=20
Therefore steph score is 20
And kyrie score is 2(20)-5
40-5=35
