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earnstyle [38]
3 years ago
14

Rewrite the expression in terms of sine and cosine, and simplify as much as possible. (sec w(1+ csc^2 w))/(csc^2 w)​

Mathematics
1 answer:
creativ13 [48]3 years ago
4 0

Answer:

(sin^2 w + 1) / cos w.

Step-by-step explanation:

Note: sec w = 1 / cos w and csc w = 1/ sin w.

So we have:

(sec w(1 + csc^2 w)) / (csc^2 w)​

= 1/cos w (  1 + 1/ sin^2 w)  /   (1 / sin^2 w)

= ( 1/ cos w + 1 / sin^2 w cos w) * sin^2 w

=  sin^2 w/ cos w + sin^2 w / (sin^2 w cos w)

= sin^2 w / cos w + 1 /  cos w

=  (sin^2 w + 1) / cos w.

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What is the mode of the set of numbers?<br><br> 2, 2, 3, 4, 4, 5, 7, 7, 7, 10, 16, 17
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It is 7

Step-by-step explanation:

6 0
3 years ago
Kellie ran 3 laps around the high school track if the total distancekellie ran was 7 1/3 miles how long is each lap around the t
agasfer [191]

Answer:

22 miles.

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8 0
2 years ago
Given: Line A R bisects ∠BAC; AB = AC
Nadya [2.5K]

The ΔABR ≅ ΔACR are congruent by SAS theorem

Option D is the correct answer.

The missing diagram is attched with the answer.

<h3>What is a Triangle ?</h3>

A triangle is a polygon with three sides , three vertices and three angles.

SAS will be used to prove the congruence of ΔABR ≅ ΔACR

In both the triangle we have a common side , AR

AB = AC (given)

∠ B A R =  ∠R A C ( given equal)

So as the two side and the included angle is equal

Therefore the ΔABR ≅ ΔACR are congruent by SAS theorem

Option D is the correct answer.

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brainly.com/question/2773823

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8 0
2 years ago
(-3x2 + x + 5) − (4x2 − 2x)
Tasya [4]

Answer:

-7x^2 + 3x + 5

Step-by-step explanation:

-3x^2 + x + 5 - 4x^2 + 2x

7 0
2 years ago
Read 2 more answers
A population of bacteria is introduced into a culture. the number of bacteria P can be modeled by P=500(1+4t/(50+t^2 )) where t
Dennis_Churaev [7]
P(t)=500(1+4t/(50+t^2 ))

P'(t) = 500 [(50+t^2).4 - 4t.2t]/(50+t^2)^2

  by the quotient rule

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Hence

 P'(2) = 500 . (-16 + 200)/54^2 ~= 31.6
6 0
3 years ago
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