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Vikki [24]
4 years ago
6

Factor the trigonometric equation. cos2x-cosx

Mathematics
1 answer:
prisoha [69]4 years ago
4 0

Cos(2x) = cos^2(x) - sin^2(x) - cos(x)

but sin^2(x) = 1 - cos^2(x)

cos(2x) - cos(x) = cos^2(x) - (1 - cos^2(x) ) - cos(x)

cos(2x) - cos(x) = cos^2(x) - 1 + cos^2(x) - cos(x)

cos(2x) - cos(x) = 2cos^2(x) - 1 - cos(x)

cos(2x) - cos(x) = (2cos(x) + 1)(cos(x) - 1)

I think this is what you have asked for.

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2. Find the measure of angle A to the nearest degree.
pav-90 [236]

Answer:

37°

Step-by-step explanation:

we're going to use cosine rule In calculating for the value of angle A

note that cosine rule can be used when two sides are given with an included angle . from the diagram above, the two sides given are side AB and side AC and the included angle is A

Hence cosine rule

a^2 = AB^2+AC^2 - 2AB×AC Cos A

3.2^2= 2.1^2+4.6^2-2×2.1×4.6COSA

10.24 =4.41+21.16- 19.32 COSA

10.24 = 25.57-19.32COSA

10.24-25.57= -19.32COSA

-15.33= -19.32COSA

dividing bothsides by - 19.32

COSA= -15.33/19.32

COA= 0.79347826

A = COS^-1 (0.79347826)

A= 37.488

A= 37°

<h2>hope this helps!!</h2>
7 0
2 years ago
Find the volume of the sphere
irinina [24]

Answer:

You have to use this formula v = ⁴⁄₃πr³ or another way would be by entering the value of the radius in google calculator.

Step-by-step explanation:

Hope this helped :)

3 0
3 years ago
At a factory, Taj produces 23 toys per hour and Rosa produces 47 toys per hour. How many hours will it take for
Kruka [31]

Answer:

7 hours

Step-by-step explanation:

47+23=70

1hour = 70 toys

? = 490 toys

Then you cross multiply:

1hour*490 toys= 490/70 = 7 hours

____________

70 toys

8 0
3 years ago
I need the answer fast plzzz
aleksley [76]
The answer is a because it matches the histogram
7 0
3 years ago
Read 2 more answers
Roxanne has 1/2 as many beads as Sherrie. The number of beads Sherrie has is 4/5 that of Ting Ting's. Ting Ting has 165 beads. H
gregori [183]
165 Ting Ting's beads* (4 Sherrie's beads/ 5 Ting Ting's beads)= 132 Sherrie's beads.
132 Sherrie's beads* (1 Roxanne's bead/ 2 Sherrie's beads)= 66 Roxanne's beads.
Now that we know the number of beads Roxanne and Ting Ting have, let's subtract:
165 beads- 66 beads= 99 beads.
Hope this would help :))
7 0
3 years ago
Read 2 more answers
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