What does it mean to find the sin, cos, and tan of the angle θ?

1 answer:

6 0

Sin means to divide the opposite side measure by the hypotenuse. Cos is equal to the adjacent side value divided by the hypotenuse. Tan is equal to the opposite value divided by the adjacent. To remember this, I use the abbreviation SOHCAHTOA. SOH for Sin is Opposite over Hypotenuse, and so on.

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What is the inverse of the function of (x)=2^(x)+6

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Answer:

Option D.

Step-by-step explanation:

To find the inversion of a function follow the following procedure

1) Replace x with y in the function and clear y

$y=2^{(x)} + 6$ ------> $x = 2^{(y)}+ 6$

$x-6 = 2^y$

$y = log_2(x-6)$

2) Check. The range of f(x) is the domain of $f^{-1}(x)$ .

So if f(a) = b, this means that $f^{-1}(b)$ = a.

$f(2) = 2^2+ 6 = 10$

$f^{-1}(x) = log_2(10-6) = 2$

Is fulfilled. Therefore $y=log_2(x-6)$ is the inverse of $f(x) = 2^{(x)} +6$

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English translation:

If the quality control manager wants to estimate the average life of lamps with 20 hours, with a confidence level of 95% and an error of 10% is assumed. What is the sample size?

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