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morpeh [17]
2 years ago
13

1-cos(6x)=___? A. 3sin(2x) B. 2sin^2(3x) C. 3cos(2x) D. 2cos^2(3x)

Mathematics
1 answer:
zhenek [66]2 years ago
4 0

The solution to 1 - cos(6x) is 2sin²(x).

Hence, option B) 2sin²(x) is the correct answer.

<h3>What is solution to 1 - cos(6x)?</h3>

Given that; 1 - cos(6x) = ?

First, we rewrite using trig identity

1 - cos(2 × 3x)

Using the double angle identity, { <em>cos2(x) = 1 - 2sin²(x)</em> }

1 - ( 1 - 2sin²(x) )

Eliminate the parentheses

1 - 1 + 2sin²(x)

2sin²(x)

The solution to 1 - cos(6x) is 2sin²(x).

Hence, option B) 2sin²(x) is the correct answer.

Learn more about trig identity here: brainly.com/question/10376944

#SPJ1

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 Here is the two-way table and the marginal frequencies in bracket:                          

                                 Like hamburger    do not like hamburger      Total

Like hot dog                    46(0.16)             54 (0.10)                        100(0.36)

Do not like hot dog          83(0.30)           95 (0.34)                        178(0.64)

Total                                 129 (0.46)             149 (0.54)                  278(1)

<h3>What is the two-way table?</h3>

Number of people who like hamburger but do not like hot dog = 129 - 46 = 83

Number of people who do not like hamburger and do not like hot dog = 149 - 54 = 95

Total number of people who like hot dog = 46 + 54 = 100

Total number of people who do not like hot dog = 83 + 95 = 178

Total = 100 + 178 = 278

The marginal frequency can be determined by dividing each number by the total number of people in the survey.

  • marginal frequency of people who like hot dog = 100 / 278 = 0.36
  • marginal frequency of people who do not like hot dog = 178 / 278  = 0.64

To learn more about two way frequency tables, please check: brainly.com/question/27344444

#SPJ1

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