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Nina [5.8K]
2 years ago
5

Choose the function whose graph is given by:

Mathematics
2 answers:
wolverine [178]2 years ago
7 0

<em>Greetings from Brasil...</em>

In a trigonometric function

F(X) = ±UD ± A.COS(Px + LR)

UD - move the graph to Up or Down (+ = up | - = down)

A - amplitude

P - period (period = 2π/P)

LR - move the graph to Left or Right (+ = left | - = right)

So:

A) F(X) = COS(X + 1)

standard cosine graph with 1 unit shift to the left

B) F(X) = COS(X) - 1 = -1 + COS(X)

standard cosine graph with 1 unit down

C) F(X) = COS(X - 1)

standard cosine graph with shift 1 unit to the right

D) F(X) = SEN(X - 1)

standard Sine graph with shift 1 unit to the right

Observing the graph we notice the sine function shifted 1 unit to the right, then

<h3>Option D</h3>

<em>(cosine star the curve in X and Y = zero. sine start the curve in Y = 1)</em>

Irina-Kira [14]2 years ago
4 0

O A. y= cos(x+ 1)

B. y= cosx - 1

Oc. y= cos(x-1)

D. y= sin(x- 1)

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Answer:

\large\boxed{\theta=-\dfrac{\pi}{4}+k\pi\ or\ \theta=k\pi}\ for\ k\in\mathbb{Z}

Step-by-step explanation:

\tan^2\theta+\tan\theta=0\\\\\tan\theta(\tan\theta+1)=0\iff\tan\theta=0\ \vee\ \tan\theta+1=0\\\\\tan\theta=0\Rightarrow \theta=k\pi\ \text{for}\ k\in\mathbb{Z}\\\\\tan\theta+1=0\qquad\text{subtract 1 from both sides}\\\\\tan\theta=-1\Rightarrow\theta=-\dfrac{\pi}{4}+k\pi\ \text{for}\ k\in\mathbb{Z}

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3 years ago
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2 years ago
ΔABC has three sides with these lengths: AB = 9, BC = 40, and CA = 41. What is the value of cos C?
kotykmax [81]

Answer:

cos(C) =\frac{40}{41}\\\\cos(C)=0.976

Step-by-step explanation:

To find the cos (C) we must use the cosine theorem.

The cosine theorem says that:

c^2 = a^2 +b^2 -2abcos(C)

In this case:

c=AB = 9

b=CA = 41

a=BC = 40

So

9^2 = 40^2 +41^2 -2(40)*(41)cos(C)

9^2- 40^2- 41^2 =-2(40)*(41)cos(C)

cos(C) = -\frac{9^2- 40^2- 41^2}{2(40)*(41)}

cos(C) =\frac{40}{41}\\\\cos(C)=0.976

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3 years ago
The formula for the volume of a cone is V = r²h, where r is the radius of the
pshichka [43]

Answer:

<u>h = V/r²</u>

Step-by-step explanation:

The formula is :

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2 years ago
Aisha made bracelets for a craft fair. She spent $29.75 on supplies to make the bracelets. Each bracelet cost her about $0.85 to
Alchen [17]

Amount of money Aisha receive from selling all of the bracelets is $33.25.

<u>Step-by-step explanation:</u>

In this question, its given that Aisha made bracelets for a craft fair. She spent $29.75 on supplies to make the bracelets. Each bracelet cost her about $0.85 to make. Aisha sells each bracelet for $0.10 more than it cost her to make. Let's calculate Number of bracelets Aisha made as \frac{total-cost}{cost-of-one-bracelet}.

Number  = \frac{total-cost}{cost-of-one-bracelet}

⇒ Number  = \frac{total-cost}{cost-of-one-bracelet}

⇒ Number  = \frac{29.75}{0.85}

⇒ Number  = 35

Now , its given that Aisha sell these bracelets with $0.10 more then it cost her i.e. at $0.95 , Let's calculate selling price as :

Price = 0.95(35)

Price = $33.25

Therefore, amount of money Aisha receive from selling all of the bracelets is $33.25.

4 0
3 years ago
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