Which Pythagorean identity is correct?
sine squared (theta) + 1 = cosecant squared (theta)
tangent squared (theta) + 1 = secant squared (theta)
1 minus cotangent squared (theta) = cosecant squared (theta)
1 minus cosine squared (theta) = tangent squared (theta)

Option 2:

tangent squared (theta) + 1 = secant squared (theta)

Step-by-step explanation:

1 + tan²X

1 + sin²X/cos²X

(cos²X + sin²X)/cos²X

1/cos²X

sec²X

d. 24+-0.114

step-by-step explanation:

the question requires us to calculate the approximate 95% confidence interval for the mean number of ounces of ketchup per bottle in the sample given the following statistics;

sample mean = 24

standard deviation, σ = 0.4

sample size , n = 49

the confidence interval for a population mean is calculated using the formula;

sample mean ± z-score*(σ/sqrt(n))

the z-score associated with a 95% confidence interval, from the standard normal tables, is;

1.96

substituting these values into the formula;

24 ± 1.96*(0.4/7)

= 24 ± 0.112

from the alternatives given, choice d is closest to the above expression;