Let 0 be an angle in quadrant IV such that cot 0 = -2/7. Find the exact values of sin 0 and sec 0

In quadrant IV, cosine is positive and sine is negative. This means that

The cotangent is defined as the ratio between the cosine and sine:

So, we have the following equation:

Squaring both sides yields

The solution to this equation would be

But we know that the cosine has to be positive, so we have

And

Finally, the secant is the inverse of the cosine, so it's

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;

96 39 cause 135 -96=39 im smart (i used a calculater)