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Natasha2012 [34]
2 years ago
11

Find the exact value of the remaining trigonometric functions given: Tan x = Undefined Sin x > 0

Mathematics
1 answer:
finlep [7]2 years ago
3 0

Answer:

  • sin(x) = 1
  • cos(x) = 0
  • cot(x) = 0
  • csc(x) = 1
  • sec(x) = undefined

Step-by-step explanation:

The tangent function can be considered to be the ratio of the sine and cosine functions:

  tan(x) = sin(x)/cos(x)

It will be undefined where cos(x) = 0. The values of x where that occurs are odd multiples of π. The smallest such multiple is x=π/2. The value of the sine function there is positive: sin(π/2) = 1.

The corresponding trig function values are ...

  tan(x) = undefined (where sin(x) >0)

  sin(x) = 1

  cos(x) = 0

__

And the reciprocal function values at x=π/2 are ...

  cot(x) = 0 . . . . . . 1/tan(x)

  csc(x) = 1 . . . . . . .1/sin(x)

  sec(x) = undefined . . . . . 1/cos(x)

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Select the expression that makes the equation true.
svetoff [14.1K]

Answer:

a.) -18 x 10^6

Step-by-step explanation:

multiply 9 x-2

add exponents 9 and -3

4 0
3 years ago
Heart failure is due to either natural occurrences (89%) or outside factors (11%). Outside factors are related to induced substa
Firdavs [7]

Answer:

a) 11% probability that the first patient with heart failure that enters the emergency room has the conditions due to outside factors.

b) 0.0871 = 8.71% probability that third patient with heart failure that enters the emergency room is the first one due to outside factors.

c) The mean number of heart failure patients with the condition due to natural causes that enter the emergency room before the first patient with heart failure from outside factors is 9.09.

Step-by-step explanation:

We have these following probabilities:

89% probability that a patient has heart failure due to natural occurrences.

11% probability that a patient has heart failure due to outside factors.

A) What is the probability that the first patient with heart failure that enters the emergency room has the conditions due to outside factors?

We assume that causes of heart failure between individuals are independent, which means that the probabilities are the same for each patient. So:

11% probability that the first patient with heart failure that enters the emergency room has the conditions due to outside factors.

B) What is the probability that third patient with heart failure that enters the emergency room is the first one due to outside factors?

First two due to natural occurrences, each with 89% = 0.89 probability.

Third due to outside factors, with 11% = 0.11 probability. So

0.89*0.89*0.11 = 0.0871

0.0871 = 8.71% probability that third patient with heart failure that enters the emergency room is the first one due to outside factors.

C) What is the mean number of heart failure patients with the condition due to natural causes that enter the emergency room before the first patient with heart failure from outside factors?

11% with outside factors, so the mean number of patients before the first with outside factors is given by

m = 1/0.11 = 9.09

The mean number of heart failure patients with the condition due to natural causes that enter the emergency room before the first patient with heart failure from outside factors is 9.09.

4 0
3 years ago
The points plotted below are on the graph of a polynomial. In what range of
Irina-Kira [14]

Answer:

the answer is 0 to 1 and 3 to 4

7 0
2 years ago
I'm not sure if this is right or not could someone also explain why ?
nikitadnepr [17]
The mapping rule for 90 degrees counterclockwise would be (-y,x). So if you had (x,y) it would transfer to (-y,x). Yours is wrong it should be (4,-3). Remember
-(-4) is 4 and -3 stays as -3.

Basically, memorize these mapping rules.

Hope this helped!
6 0
3 years ago
william won 50 tickets at the arcade. he redeemed 30 tickets for a prize and gave 5 tickets to ketelyn. which expression can wil
mariarad [96]
Hello!

If William originally won 50 tickets, redeemed 30, and gave 5 to his friend, the expression that represents how many tickets he has left is:

50-30-5

If you are looking for how many tickets William has left, you simply need to solve the expression:
50-30-5 = 15

I hope this helps you! Have a great day!
5 0
3 years ago
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