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Anestetic [448]
3 years ago
8

Write each expression in terms of sines and/or cosines and then simplify.

Mathematics
1 answer:
Sedaia [141]3 years ago
8 0
Tan(x)= sin(x)/cos(x), therefore, substitute sin(x)/cos(x) in the expression:
=(cos(x)(sin(x)/cos(x))-1)/cos^2(x)
simplify the 2 cos(x):
=(sin(x)-1)/cos^2(x)
Sin^2(x)+ cos^2(x)=1, sin^2(x)-1=- cos^2(x), substitute in the expression:
= -cos^2(x)/cos^2(x)= -1
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Ariel made cupcakes to sell. 2/3 of them were chocolate chip,25% of the reminder was strawberry and the rest were 90 vanilla cup
Anton [14]

Answer:

Let x be the total number of cupcakes.

Chocolate chips =

\frac{2}{3} x

Strawberry =

\frac{1}{4}  \times  \frac{1}{3}  \\  =  \frac{1}{12} x

Vanilla =

x -  \frac{2}{3} x -  \frac{1}{12}x \\  =  \frac{1}{3} x -  \frac{1}{12} x \\   =  \frac{1}{4} x

given

\frac{1}{4} x = 90

x = 90 \div  \frac{1}{4}  \\  = 90 \times 4 \\  = 360

a)Number of Chocolate chip Cupcakes =

\frac{2}{3}  \times 360 \\  = 240

b)Number of Strawberry cupcakes =

\frac{1}{12}  \times 360 \\  = 30

8 0
3 years ago
What is the value of x in the equation 4(2x + 12) = 0? a −8 b −6 c 6 d 8
alex41 [277]

Answer:

the answer is b:-6

Step-by-step explanation:

hoped I helped:)

5 0
3 years ago
I have no idea how to solve this. please help?
matrenka [14]
I believe it’s c

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8 0
3 years ago
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kvasek [131]
I think the correct answer is C
4 0
2 years ago
Find the GCD of 36,72 and 576
7nadin3 [17]

Answer:

36

Step-by-step explanation:

1×36

36×2

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5 0
3 years ago
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