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Dmitrij [34]
3 years ago
11

Write sin^2(x)*cos^2(x) as a single power of cosine, show work

Mathematics
1 answer:
WINSTONCH [101]3 years ago
7 0
This is what you're looking for if I'm not mistaken
sin²x + cos²x = 1
So:
sin²x = 1 - cos²x

∴ sin²x * cos²x = (1 - cos²x) * cos²x
= cos²x.(1 - cos²x)
(= cos²x - cos⁴x)
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Please answer this !!!!!!!!<br> Then maybe you will be the Brainlist!!!!
Sedaia [141]

Answer:

A. 60

B. 50

C. 5

Hope this helped :3

5 0
3 years ago
Read 2 more answers
5. Given that a + b = 8 and ab = 15, find the value of (a+b)² and a² + b²​
Maksim231197 [3]

Answer:

64 and 34

Step-by-step explanation:

Given

a + b = 8 ( square both sides )

(a + b)² = 8² = 64

------------------------------------------------

(a + b)² = 64 ← expand left side

a² + b² + 2ab = 64 ← substitute ab = 15

a² + b² + 2(15) = 64

a² + b² + 30 = 64 ( subtract 30 from both sides )

a² + b² = 34

5 0
3 years ago
Which expression is equivalent to<br> 3x + 2(4y + x)?<br><br> Hurry please, thanks!
docker41 [41]

Answer:

A.

Step-by-step explanation:

4 0
3 years ago
A parabola opening up or down has vertex (0,-7) and passes through (4,-3). Write its equation in vertex form
soldier1979 [14.2K]

Answer:

y = \frac{1}{4} x² - 7

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (0, - 7), thus

y = a(x - 0)² - 7

To find a substitute (4, - 3) into the equation

- 3 = a(4 - 0)² - 7, that is

- 3 = 16a - 7 ( add 7 to both sides )

4 = 16a ( divide both sides by 16 )

a = \frac{1}{4}, thus

y = \frac{1}{4} x² - 7

3 0
4 years ago
Mark tranferred songs from his computer onto his portable music player. he transferred 2 6/7 songs in 1 2/3 minutes. How many so
SCORPION-xisa [38]
So basically; 
 2 6/7 : 1 2/3
as a top heavy fraction is...
20/7 : 5/3 
divide both sides by 5/3 to get x:1
12/7 : 1 
so he transfers 12/7 songs or as a mixed fraction 1 5/7 
3 0
3 years ago
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