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ivolga24 [154]
3 years ago
13

Which graph represents a phase shift of pi/2 units right for the graph of y=cos x

Mathematics
2 answers:
Cloud [144]3 years ago
7 0

Solution:

we are given that y=cos x

Here we are going to plot two curves one for cosx and the othere also of cosx but after making a phase shift of \pi/2

When we do a phase shift by an angle of theta , in that case actaully we add angle negative theta .

For example when we shift the phase of sinx by \pi/2 we get  sin(x-\pi/2).

Hence we are going to plot the curve of

y=cosx\\
\\
y=cos(x-\pi/2)=sinx\\

Hence the correct option is B.

grandymaker [24]3 years ago
7 0
Your answer is b. y = sinx

Hope I helped!
Let me know if you need anything else!
~ Zoe
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In a group of 15 children the ratio of the boy : the girl is 2: 3: 5 more girls join the group. Calculate the percentage of boys
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Answer:

Percentage of new group boys = 30%

Percentage decrease for the boys = 10%

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Step-by-step explanation:

Given:

Number of children = 15

Ratio (Boys to Girls) = 2 : 3

Number of more girls join = 5

Find:

Percentage of boys in new group

Percentage decrease for the boys

Increase percent of the girls

Computation:

Number of boys = 15[2/5]

Number of boys = 6

Number of girls = 15[3/5]

Number of girls = 9

Percentage of boys = [6 / 15]100

Percentage of boys = 40%

Percentage of girls = [9 / 15]100

Percentage of girls = 60%

New number of students = 15 + 5

New number of students = 20

New number of boys = 6

New number of girls = 9 + 5 = 14

Percentage of new group boys = [6 / 20]100

Percentage of new group boys = 30%

Percentage of new group girls = [14 / 20]100

Percentage of new group girls = 70%

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Percentage decrease for the boys = 10%

Increase percent of the girls = 70% - 60%

Increase percent of the girls = 10%

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3 years ago
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Answer:

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Step-by-step explanation:

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