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2 years ago

What is the difference between the reciprocal of a trig function and the inverse of a trig function?

1 answer:

5 0

Inverse is used to find the value of an angle. The inverse of a trigonometric function gives you the angle instead of the ratio. Commonly, these are denoted with the prefix "arc-". So, the inverse of the tan function is the arctan function.

The reciprocal of a trigonometric function is simply its algebraic reciprocal--that is, 1 over the function.

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3 years ago

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2 years ago

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A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 444.0 gram setting. It

lianna [129]

Answer:

We conclude that the bag filling machine works correctly at the 444.0 gram setting.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 444.0 gram

Sample mean, $\bar{x}$ = 443.0 grams

Sample size, n = 40

Alpha, α = 0.02

Population standard deviation, σ = 23.0 grams

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 444.0\text{ grams}\\H_A: \mu < 444.0\text{ grams}$

We use one-tailed(left) z test to perform this hypothesis.

Formula:

$z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }$

Putting all the values, we have

$z_{stat} = \displaystyle\frac{443 - 444}{\frac{23}{\sqrt{40}} } =-0.274$

Now, $z_{critical} \text{ at 0.02 level of significance } = -2.054$

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3 years ago

Can I get help please

galina1969 [7]

The answer would be - 2/9

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3 years ago

Evaluate the function requested. Write your answer as a fraction in lowest terms.

Marianna [84]

Answer: 4 / 5

Step-by-step explanation: 1) For a right triangle, the ratio sine is defined as:

sin(x) = opposite-leg / hypotenuse

2) x is the angle. In this case: A

3) As per the figure, the opposite leg to tha angle A measures 28

4) As per the figure, the hypotenuse measures 35

5) Calculations:

sin(A) = 28 / 35

Simplify dividing both numerator and denominator by 7 => 28/35 = 4/5

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3 years ago