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"match each trigonometric value or vocabulary word with its formula or right triangle definition. use the triangle below."
1. (a/c)
2. (b/c)
3. (opposite/hypotenuse)
4. (adjacent/hypotenuse)
5. (a/b)
6. (b/a)

a. sin b
b. cosine
c. tan b
d. sin a
e. tan a
f. sine

1 =d

2=a

3=f

4=b

5=e

6=c

Step-by-step explanation:

We are given a right angled triangle ABC

AB =  c

BC =  a

AC =  b

Using Trigonometric ratio:

For perpendicular BC base angle for sine is ∠A

So,

So, 1 = d

Using Trigonometric ratio:

  --1

For perpendicular AC base angle for sine is ∠B

So,

So, 2 = a

Using 1

So, 3 = f

So, 4 = b

Using Trigonometric ratio:

For Base AC base angle for Tan is ∠A

So,

So, 5 = e

Using Trigonometric ratio:

For Base BC base angle for Tan is ∠B

So,

So, 6 = c

a 10 percent increase

answer: the price of one pound cabbage = $ 0.8

the point (10,8) represents that the cost of 10 pounds cabbage is $ 8

step-by-step explanation:

since, here is a proportional relation between the number of pounds of cabbage (x) and the price in dollars (y).

therefore, we can write,

⇒ y = k x

where k is the constant of proportionality.

now, point (5,4) is in the line.

thus, it will satisfies the above equation of line.

⇒ 4 = 5 k

⇒ k = 0.8

thus, the equation of the line is,

y = 0.8 x

a) for x = 1,

y = 0.8

therefore, the cost of one pound of cabbage is 0.8 dollars.

b) in the below graph (10,8) represents that the cost of 10 pounds of cabbage is 8 dollars.