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Viktor [21]
3 years ago
7

Simplify 1+sinx/cosx+cosx/1+sinx

Mathematics
1 answer:
Dmitry [639]3 years ago
6 0
\frac{1 + sin(x)}{cos(x)} + \frac{cos(x)}{1 + sin(x)}
\frac{[1 + sin(x)][1 +sin(x)]}{cos(x)[1 + sin(x)]} + \frac{cos(x)[cos(x)]}{cos(x)[1 + sin(x)]}
\frac{1 + 2sin(x) + sin^{2}(x)}{cos(x)[1 + sin(x)]} + \frac{cos^{2}(x)}{cos(x)[1 + sin(x)]}
\frac{1 + 2sin(x) + sin^{2}(x) + cos^{2}(x)}{cos(x)[1 + sin(x)]}
\frac{1 + 2sin(x) + 1}{cos(x)[1 + sin(x)]}
\frac{1 + 1 + 2sin(x)}{cos(x)[1 + sin(x)]}
\frac{2 + 2sin(x)}{cos(x)[1 + sin(x)]}
\frac{2[1 + sin(x)]}{cos(x)[1 + sin(x)]}
\frac{2}{cos(x)}
2sec(x)
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What is the prime factorization for 147
NemiM [27]
Prime Factorization = Divide by factors that are prime number

147 ÷  3 = 49
49 ÷ 7 = 7
7 ÷ 7 = 1
 
147 = 3 x 7 x 7

147 = 3 x 7²

-------------------------------------------------------------------------------
Answer: 147 = 3 x 7²
-------------------------------------------------------------------------------
4 0
3 years ago
Read 2 more answers
hosting a dinner party for 38 people, you plan to serve peach pie for dessert. Each pie has 8 slices. how many pies must your bu
dem82 [27]

Answer:

4.75 or round up to 5.

Step-by-step explanation:

if each pie has 8 slices, then you must do 8+8+8... and so on until u reach 38. However you wont get exactly 38 because 8 doesn't add up evenly into 38. You can find the exact number by divding the amount of people, 38, by the number of slices per pie, 8. The answer will be 4.75 but you can not buy a fraction of a pie so you must round up to 5 whole pies. There will be extra left over in the end, but you cant round down because 4 pies would not be enough, so you must buy 5.

5 0
2 years ago
A 5'6" person walking down the street notices his shadow. If the angle of elevation from the tip of the shadow to the sun is 60°
S_A_V [24]

Check the picture below.

7 0
3 years ago
Julianna has thirty two pieces of candy in a candy jar. Julianna only has two kinds of candy.
bazaltina [42]

The number of jolly rangers candy she has is 22. The number of twix bars she has is 11.

<h3>What are the linear equations that represent this question?</h3>

j + t = 33 equation 1

4t = 2j

j = 2t equation 2

Where:

j = number of jolly rangers

t = j = number of twix

<h3>How many twix candies does Julianna have?</h3>

Substitute for j in equation 1 using equation 2

2t + t = 33

3t = 33

t = 11

<h3>How many jolly candies does Julianna have?</h3>

Subsitute for t in equation 2

j = 11 x 2 = 33

To learn more about simultaneous equations, please check: brainly.com/question/25875552

#SPJ1

5 0
2 years ago
Solve for r: C = 2pir.
Vedmedyk [2.9K]
The answer would be A: R= C over 2 pi


Hope this helps :)
4 0
3 years ago
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