First, tan(<em>θ</em>) = sin(<em>θ</em>) / cos(<em>θ</em>), so if cos(<em>θ</em>) = 3/5 > 0 and tan(<em>θ</em>) < 0, then it follows that sin(<em>θ</em>) < 0.
Recall the Pythagorean identity:
sin²(<em>θ</em>) + cos²(<em>θ</em>) = 1
Then
sin(<em>θ</em>) = -√(1 - cos²(<em>θ</em>)) = -4/5
and so
tan(<em>θ</em>) = (-4/5) / (3/5) = -4/3
The remaining trig ratios are just reciprocals of the ones found already:
sec(<em>θ</em>) = 1/cos(<em>θ</em>) = 5/3
csc(<em>θ</em>) = 1/sin(<em>θ</em>) = -5/4
cot(<em>θ</em>) = 1/tan(<em>θ</em>) = -3/4
I believe that the answer is C.
Answer:
Step-by-step explanation:
Given
Liam deposited 
Rate of interest is 
If the amount after t years is 
Simple interest is given by

And amount is


Substituting values we get





Answer:
Each person will earn $16.
Step-by-step explanation:
Given that:
Amount of loss faced by the company = $144
Number of people who would share the amount = 9
Let,
x be the share of each person.
Number of people * Share per person = Total loss
9x = 144
Dividing both sides by 9

x = $16
Hence,
Each person will earn $16.
Answer:
width =4.5ft
length=6ft
Step-by-step explanation:
w = x
L = 2x-3
area = L*w
27 = x(2x-3)



2x(x+3)-9(x+3)=0
(2x-9)(x+3)=0
2x-9=0
2x=9
x=9/2
x=4.5
L=2x-3=2*4.5-3 =9-3=6