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jek_recluse [69]
4 years ago
14

Graph the function in the interval from 0 to 2pi. y = sin(θ − 2)

Mathematics
2 answers:
Delvig [45]4 years ago
7 0
Answer: It is the second graph. See the attached figure.

Explanation:

1) You can consider the function y = sin(θ − 2) as a transformation of the parent function <span>y = sin θ

2) Subtracting a constant from the argument of a function leads to shifting the graph as many units to the right as the constant.

3) So, subtracting 2 from the argument of y = sin </span><span>θ shifts its graph 2 units to the right.

4) Since the x-intercepts of </span><span>y = sin θ in the interval 0 to 2π are 0, π, and 2π, the x-intercepts of </span><span>y = sin(θ − 2) will be 2, π + 2, and 2π + 2.

5) The x-intercepts are not enough to differentiate between some graphs, so take into account the local maxima or minima.

The local maxima of the function </span><span>y = sin θ in the interval 0 to 2π are at x = π/2, and 3π/2,  then the local maximum of <span>y = sin(θ − 2) is at π/2 + 2.</span>

That is the second graph.

I attach the graph for avoiding confussions.
</span>

lyudmila [28]4 years ago
4 0
The answer is the second graphSOlution: y = sin(θ − 2) =>y = sin θ 
Subtract y = sin θ in the interval 0 to 2π are 0, π, and 2π,
the x-intercepts of y = sin(θ − 2) will be 2, π + 2, and 2π + 2.
then the local maximum of y = sin(θ − 2) is at π/2 + 2.
SO it is the second graph.

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Answer:

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Step-by-step explanation:

Given:

\dfrac{-32abc}{64a^2bc^2}

Reduce this fraction.

Work with numbers and different letters separately:

1. Numbers:

\dfrac{-32}{64}=-\dfrac{32}{32\cdot 2}=-\dfrac{1}{2}

2. Letter a:

\dfrac{a}{a^2}=\dfrac{a}{a\cdot a}=\dfrac{1}{a}

3. Letter b:

\dfrac{b}b}=1

4. Letter c:

\dfrac{c}{c^2}=\dfrac{c}{c\cdot c}=\dfrac{1}{c}

Hence,

\dfrac{-32abc}{64a^2bc^2}=-\dfrac{1}{2}\cdot \dfrac{1}{a}\cdot \dfrac{1}{c}=-\dfrac{1}{2ac}

5 0
4 years ago
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The sum of the measures of the angles of a triangle is 180 degrees. angels A,B,C has ratios of 3:5:7. What are their measures ?
Igoryamba

Answer:

<em>36:60:84</em>

<em>A     : B    : C</em>

<em>36° : 60° : 84°</em>

<em>A= 36°</em>

<em>B= 60°</em>

<em>C=84°</em>

Step-by-step explanation:

<em>3:5:7 =15</em>

<em>180÷15=12</em>

<em>3×12=36</em>

<em>36:x:y =180</em>

<em>5×12=60</em>

<em>36:60:y =180</em>

<em>7×12=84</em>

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castortr0y [4]

Step-by-step explanation:

ax7=7 x 1/7(b+c-d)

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Write a system of equations to describe the situation below, solve using any method, and fill in the blanks. The volleyball team
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Answer: After washing 20 cars together, each team will have raised the same amount in total.

Step-by-step explanation:

Let x represent the number of cars that each each teams will wash for them to raise the same amount in total.

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