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3 years ago

What is a cofunction? Give examples and explain the purpose.

1 answer:

5 0

Cofunctions in trigonometry are function pairs like sine and cosine

Examples:
sin(π/2 - x) = cos(x), cos(π/2 - x) = sin(x), tan(π/2 - x) = cot(x), and cot(π/2 - x) = tan(x)

Purpose:

The cofunction identities show the relationship between sine, cosine, tangent, cotangent, secant, and cosecant. The value of an angle's trig function equals the value of the angle's complement's cofunction

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Supposed the top 15 percent of producers get bonuses and the average production rate is 200 units with the standard deviation of

dlinn [17]

Th z-score is given by:
z=(x-μ)/σ
where:
μ-mean
σ-standard deviation

hence:
z=(240-200)/20
z=2

7 0

3 years ago

Find the point, M, that divides segment AB into a ratio of 4:7 if A is at (-33, 0) and B is at (0, 44).

insens350 [35]

Let's say the point is C, and divides AB on a 4:7 ratio, from A to B, meaning the AC segment takes 4 units of the lot and the CB segment takes 7.

$\bf ~~~~~~~~~~~~\textit{internal division of a line segment}
\\\\\\
A(-33,0)\qquad B(0,44)\qquad
\qquad \stackrel{\textit{ratio from A to B}}{4:7}
\\\\\\
\cfrac{A\underline{C}}{\underline{C} B} = \cfrac{4}{7}\implies \cfrac{A}{B} = \cfrac{4}{7}\implies 7A=4B\implies 7(-33,0)=4(0,44)\\\\
-------------------------------$

$\bf C=\left(\cfrac{\textit{sum of "x" values}}{\textit{sum of ratios}}\quad ,\quad \cfrac{\textit{sum of "y" values}}{\textit{sum of ratios}}\right)\\\\
-------------------------------\\\\
C=\left(\cfrac{(7\cdot -33)+(4\cdot 0)}{4+7}\quad ,\quad \cfrac{(7\cdot 0)+(4\cdot 44)}{4+7}\right)
\\\\\\
C=\left( \cfrac{-231+0}{11}~~,~~\cfrac{0+176}{11} \right)\implies C=(-21~,~16)$

6 0

3 years ago

Evaluate the expression -4 ( n - 6) + m when n = -5 and m = 2? Show your steps

liubo4ka [24]

Answer: -42

Step-by-step explanation:

-4(n-6)+m

and then they give you the values of each

basically what you do is put the value of m into where it shows on the equation as well as the n.

-4(-5-6)+2 and then you should get

-42

4 0

3 years ago

Two pounds of corned beef cost $14.91, and a package of cabbage cost $3.34. What is the total cost of the corned beef and cabbag

dolphi86 [110]

18.25 is the answer I believe

7 0

3 years ago

Read 2 more answers

Solve the system of equations.

Orlov [11]

Answer:

x=-1, y = 2, z = 1

Step-by-step explanation:

We are given with three equations and we are asked to find the solution to them.

2x + 2y + 3z = 5 ------------- (A)

6x + 3y + 6z = 6 --------------(B)

3x + 4y + 4z = 9 ---------------(C)

Step 1 .

multiplying equation (A) by 3 and subtracting B from the result

6x + 6y + 9z = 15

6x + 3y + 6z = 6

- - - = -

_______________

3y+3z=9

y+z=3

y=3-z ----------------- (C)

Step 2.

Substituting this value of y in equation B and C

6x + 3(3-z) + 6z = 6

6x+9-3z+6z=6

6x+3z=-3

2x+z=-1 ----------------(D)

3x + 4(3-z) + 4z = 9

3x+12-4z+4z=9

3x=-3

x=-1 ------------ (E)

Putting this value f x in (D)

2(-1)+z=-1

-2+z=-1

z=1

Now we put this value of z in equation (C)

y=3-z

y=3-1

y=2

Hence we have

x=-1, y=2 and z=1

6 0

4 years ago