Mathematics, 18.07.2019 05:30 erin2077

Simplify the trigonometric expression cos(2x)+1 using double-angle identities. a. -2sin^2(x) b. 2cos^2(x)-2sin^2(x) c. 2cos^2(x)+2sin^2(x) d. 2cos^2(x)

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The answer is 2cos^2(x)===since the cosine double identity can be expressed as cos(2x) = cos²x - sin²xwe have cos(2x) +1 = cos²x - sin²x + 1we can rearrange it so it becomes = cos²x + 1 - sin²xnote that 1 - sin²x = cos²x. this is because if we take the pythagorean identity, sin²x + cos²x = 1, and subtract both sides by sin²x, we end up with cos²x = 1 - sin²x. therefore = cos²x + (1 - sin²x) = cos²x + cos²x = 2cos²(x)

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introduction, methodology, results, discussion

step-by-step explanation:

an observational study is one which consists of actual observation to record data and then analyse the data.

there are a number of factors that should be analyzed before starting an observational study.

the main four factors are:

i) introduction: this should be analysed to check whether the purpose of the study is correctly established and the data recorded are appropriate for the study

methodology: the method of collecting the data, such as whether randomly selected, and whether sample size matches with the population to be studied, whether questions asked are easy to answer by common men, etc.

results: then results such as summary of data with comments should be studied thoroughly

discussion: the last is the discussion, this can be either by management people or persons who are all interested , etc.

Answer from: Quest

hello,

b) 62.47% of the students are between 14 and 18 years old.

step-by-step explanation:

mean = 15 and standard deviation = 2

student between 14 to 18

formula used z-score

for age 14 , z score

using z-table , p(z> -0.5)=0.3085

for age 18 , z score

using z-table , p(z< 1.5)=0.9332

p(-0.5< z< 1.5)=0.9332-0.3085 = 0.6247

thus, 62.47% of the students are between 14 and 18 years old.

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Simplify the trigonometric expression cos(2x)+1 using double-angle identities. a. -2sin^2(x) b. 2co...

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