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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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At Prairieview Middle School, 100 students participate in at least one of three after-school clubs: soccer club, art club, and g
Tresset [83]

Answer:

17

Step-by-step explanation:

Number of students in soccer club, n(S) = 50

Number of students in Art club, n(A) = 53

Number of students in Gaming club, n(G)

n(S \cup A\cup G) = 100

n(S \cap A\cap G) = 9

n(S \cap A) = 20

n(A \cap G) = 35

n(G \cap S) = 29

Formula:

n ( A ∪ B ∪ C ) =  n(A) + n(B) + n(C) – n ( A ∩ B ) – n(B ∩ C) – n (A ∩ C) + n( A ∩ B ∩ C )

Putting the values:

100 = 50 + 53 + n(G) - 20 - 35 - 29 + 9

100 = 112 + n(G) - 84

n(G) = 72

Number of students in gaming club only = n(G) - n(G \cap S) - n(A \cap G) + n(S \cap A\cap G)

= 72 - 35 - 29 + 9

= <em>17</em>

6 0
3 years ago
The average student loan debt for college graduates is $25,800. Suppose that that distribution is normal and that the standard d
qaws [65]
The answer would have to be 10
3 0
3 years ago
I also need to know what m∠cdb is
Oliga [24]

Answer:

x = 4

m<cdb = 82

Step-by-step explanation:

The exterior angle thm states that the exterior angle of a triangle is equal to the sum of the opposite interior angles:

7x + 2 + 17x = 98

24x + 2 = 98

24x = 96

x = 4

m<cdb =

y + 98 = 180

y = 180 - 98

y = 82

3 0
2 years ago
10 divided by 1 7/8 = 4x what is x? hurry!!
Ostrovityanka [42]
X= 20/17 ; multiply by reciprocal 10 times 8/17 =4x then 80/17=4x , divide both sides by 4 leaves you x=20/17
3 0
3 years ago
Read 2 more answers
1/5x-2/3y=30<br> What is the value of the x in the equation when y=15
svetlana [45]

Answer:

\frac{1}{5} x -  \frac{2}{3} y = 30 \\  \frac{1}{5} x -  \frac{2}{3} 15 = 30 \\  \frac{1}{5} x -  \frac{30}{3}  = 30 \\  \frac{1}{5} x  -  10 = 30 \\  \frac{1}{5} x = 30 + 10 \\  \frac{1}{5} x = 40 \\ x = 40 \div  \frac{1}{5}  \\ x = 40 \times  \frac{5}{1}  \\ x = 40 \times 5 \\ x = 200

I hope I helped you^_^

8 0
3 years ago
Read 2 more answers
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