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1 year ago

what are the key features of the graph of a trigonometric function? How do you find them from a graph or an equation?

Mathematics

1 answer:

Elena-2011 [213]1 year ago

6 0

Answer:

The basic sine and cosine functions have a period of 2π. The function sin x is odd, so its graph is symmetric about the origin. The function cos x is even, so its graph is symmetric about the y-axis. The graph of a sinusoidal function has the same general shape as a sine or cosine function.

They are the three x-intercepts, the maximum point, and the minimum point. All of these are on your unit circle. The values of sin x correspond to the y-values, so those key points are (angle, y-value) or (0,0), (π/2, 1), (π, 0), (3π/2, -1), (2π, 0).

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Please help me solve this problem.

Tasya [4]

Let

x-------> total peanuts originally from the bag

we know that

1) Phillip took 1/3 of the peanuts from the bag--------> (1/3)*x

remaining=x-(1/3)*x-------> (2/3)*x

2) Joy took 1/4 of the remaining peanuts-------> (1/4)*[(2/3)*x]----> (1/6)*x

remaining= (2/3)*x-(1/6)*x------> (1/2)*x

3) Brett took 1/2 of the remaining peanuts------> (1/2)*(1/2)*x-----> (1/4)*x

remaining= (1/2)*x-(1/4)*x-------> (1/4)*x

4) Preston took 10 peanuts------> 10

(1/4)*x-10=71----> multiply by 4 both sides----> x-40=284----> x=324 peanuts

5) Total originally peanuts from the bag is equal to 324 peanuts

6) Phillip took (1/3)*x-----> (1/3)*324=108 peanuts

7) Joy took (1/6)*x------> (1/6)*324=54 peanuts

8) Brett took (1/4)*x------> (1/4)*324=81 peanuts

9) Preston took 10

check

108+54+81+10=253

remaining=324-253------> remaining=71-------> is correct

6 0

3 years ago

Can someone help me whose good at geometry?

Pavel [41]

Actually I can help you in three of them as the number "3" is not confined between the arrays ND and NE

So:
It would be
angle END
or
angle DNE
or
angle N

6 0

3 years ago

5^11 times 5^3 = 5^?

postnew [5]

Answer:

$5^{13}$

Step-by-step explanation:

$5^{11}\times \:5^2$

Apply exponent rule : $a^b\times \:a^c=a^{b+c}$

$5^{11}\times \:5^2=5^{11+2}$

$5^{11+2}$

Add 11 +2 = 13

$=5^{13}$

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OAmalOHopeO

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7 0

2 years ago

A pile of sand in the shape of a cone has a diameter of 8 in. and a height of 5 in.

max2010maxim [7]

if it has a diameter of 8, that means its radius is half that, or 4.

$\bf \textit{volume of a cone}\\\\
V=\cfrac{\pi r^2 h}{3}~~
\begin{cases}
r=radius\\
h=height\\[-0.5em]
\hrulefill\\
r=4\\
h=5
\end{cases}\implies V=\cfrac{\pi (4)^2(5)}{3}\implies V=\cfrac{80\pi }{3}
\\\\[-0.35em]
\rule{34em}{0.25pt}\\\\
~\hfill \stackrel{using~\pi =3.14}{V= 83.7\overline{3}}~\hfill$

8 0

2 years ago

Who knows the area of this ? #struggleatmath

photoshop1234 [79]

I think it’s 6. There are 4 squares and 4 triangles. 2 triangles put together turn into a square, so that would make 2 extra squares. 4+2=6.

8 0

3 years ago