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lesya [120]
3 years ago
10

Simplify square root of (1-cos)(1+cos)/cos^2

Mathematics
1 answer:
Pavel [41]3 years ago
3 0
I hope this helps you



(1-cosx)(1+cosx)=1+cosx-cosx-cos²x=1-cos²x=sin²x


sin²x
____
cos²x


tg²x
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Chester used the regression equation of the weight loss plan to make a prediction within the given data range. Complete his work
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Answer:1.94

Step-by-step explanation:

Edge 2020

7 0
3 years ago
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Can someone help me please and explain.
exis [7]
[This question is such you will not understand a thing without your involvement as well. So follow my step and check by yourself]

First plot both functions on graph (this you gotta do yourself and check because only then you will learn)

How you plot the function?

f(x)=-3x³+5x-5

Put y=f(x)

y=-3x³+5x-5➡eqn(1)

So note the corresponding values of y on putting different values of x in that function.

I'll show u:

When x=0,y=-5 [calculate yourself it's easy just put x=0 and find value of y in eqn(1)]

Similarly,

x=1,y=-3

x=2,y=-19

[Similarly put x=-1,-2..and find corresponding y]

So you got points (0,-5),(1,-3),(2,-19)...plot these points and you have successfully plotted f(x).

Same process for plotting function g(x)....at least 6 points must be plotted.

❇After plotting f(x) and g(x):

1)check by yourself if they have same y-intercept (which is the distance between origin and the point of intersection of y-axis and the curve/line)

2) To check if they have same behavior or not,

increase the value of x[ie,1,2,3...] and note the corresponding value of y in function f(x) . Then decrease value of x[ie,-1,-2,-3..] and note corresponding value of y [note that y means function or f(x)]

Suppose f(x) has following end behavior:

When x increases f(x) tends to decrease

and when x decreases f(x) tends to increase

Now find end behavior of g(x) also..and if above end behavior matches with g(x), they will have same end behavior.

3) check by yourself by looking in plotted graphs of f(x) and g(x) whether they have at least one x-intercept or not.

4)g(x) is even function but f(x) is odd function.

So, g(x) is symmetrical over y-axis but f(x) is not.

5) Actually most of the algebraic polynomial functions don't show periodicity(but trigonometric and exponential function do). You can check by yourself by looking in plotted graph. If graph seems to be repeating same behavior it is periodic otherwise not. I am sure the given functions are not periodic. {Plz google periodic function if you want to know more}
3 0
3 years ago
John's current salary is 40000 per year.His annual pay raise is always a percent of his salary.What would his salary be if he re
ad-work [718]

Answer:

The salary after four consecutive increase = $ 46794.34

Step-by-step explanation:

According to question,

salary of MR. John = $ 40000 per year

percentage py increase = 4%

Let the salary after four consecutive pay increase = x

So, X = 40000 (1 +\frac{4}{100})^4

Or, X = 40000 (\frac{26}{25})^4

Or, X = 46794.34

Hence the salary increase after four consecutive pay increase at 4% = $46794.34  Answer

3 0
3 years ago
What is the volume of the figure​
Law Incorporation [45]

Answer:

5,376in^3

Step-by-step explanation:

find the volume of the smaller box first

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Solve for
faust18 [17]

Given equation : n(17+x)=34x−r.

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Distributing n over (17+x) on left side, we get

17n + nx  = 34x - r.

Adding r on both sides, we get

17n+r + nx  = 34x - r+r.

17n + r + nx = 34x.

Subtracting nx from both sides, we get

17n + r + nx-nx = 34x-nx

17n + r = 34x -nx.

Factoring out gcf x on right side, we get

17x + r = x(34-n).

Dividing both sides by (34-n), we get

\frac{(17x + r)}{(34-n)} = \frac{x(34-n)}{(34-n)}

\frac{(17x + r)}{(34-n)} = x

<h3>Therefore, final answer is x=\frac{(17x + r)}{(34-n)}.</h3>
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