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QveST [7]
3 years ago
15

If f(x)=sinx−1/cos2x, then limx→π2f(x) is equivalent to which of the following?

Mathematics
1 answer:
Harrizon [31]3 years ago
8 0

Answer:

2

Step-by-step explanation:

Given g(x) = sin(x)-1/cos2(x), we are to find the limit if the function g(x) as g(x) tends to π/2

Substituting π/2 into the function

lim x-->π/2 sin(x)-1/cos 2(x)

= sin(π/2) - 1/cos(2)(π/2)

= 1 - 1/cosπ

= 1- 1/-1

= 1 -(-1)

= 1+1

= 2

Hence the limit of the function h(x) = sin(x)-1/cos2(x) as x--> π/2 is 2

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Suppose a circle has a radius of 13 inches. How far would a 24 inch chord be from the center of the circle? (Hint: Draw a diagra
lys-0071 [83]

Answer:

Step-by-step explanation:

Directions

  • Draw a circle
  • Dear a chord with a length of 24 inside the circle. You just have to label it as 24
  • Draw a radius that is perpendicular and a bisector through the chord
  • Draw a radius that is from the center of the circle to one end of the chord.
  • Label where the perpendicular radius to the chord intersect. Call it E.
  • You should get something that looks like  the diagram below. The only thing you have to do is put in the point E which is the midpoint of CB.

Givens

AC = 13 inches                   Given

CB = 24 inches                  Given

CE = 12 inches                    Construction and property of a midpoint.

So what we have now is a right triangle (ACE) with the right angle at E.

What we seek is AE

Formula

AC^2 = CE^2 + AE^2

13^2 = 12^2 + AE^2

169 = 144 + AE^2                     Subtract 144 from both sides.

169 - 144 = 144-144 + AE^2     Combine

25 = AE^2                                Take the square root of both sides

√25 = √AE^2

5 = AE

Answer

The 24 inch chord is 5 inches from the center of the circle.

4 0
2 years ago
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H(x)=2x: Find (7)<br><br>please help​
erma4kov [3.2K]

Answer:

2(7) = 14

Step-by-step explanation:

When there is a number in the brackets, we want to input that into our function and get the output. In other words, we simply substitute 7 for x

2(7) = 14

3 0
3 years ago
NEED HELP ASAP!!
Sindrei [870]
The answer is B (the quotient of four time some number and six)
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E. cluster

Step-by-step explanation:

hope that helps.

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4/1 = 2/x...4 miles to 1 hr = 2 miles to x hrs
cross multiply because this is a proportion
(4)(x) = (1)(2)
4x = 2
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