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Andrei [34K]
3 years ago
7

Which rule would best describes this pattern 8,4,10,6,12,8,14

Mathematics
1 answer:
irinina [24]3 years ago
3 0

Answer:

Subtract 4 and then add 6.

Step-by-step explanation:

8-4=4

4+6=10

10-4=6

6+6=12

12-4=8

8+6=14

The rule for this pattern can be subtracting 4, and then adding 6.

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(-4,1)

Step-by-step explanation:

for x you do:

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3 years ago
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Simplify using trigonometric identities<br> 2sinθ - sin2θ cosθ
Anit [1.1K]

Double angle identity for sine:

\sin(2x) = 2 \sin(x) \cos(x)

\implies 2 \sin(\theta) - \sin(2\theta) \cos(\theta) = 2 \sin(\theta) - 2 \sin(\theta) \cos^2(\theta)

Factorize the left side.

2 \sin(\theta) - 2 \sin(\theta) \cos^2(\theta) = 2 \sin(\theta) \left(1 - \cos^2(\theta)\right)

Pythagorean identity:

\cos^2(x) + \sin^2(x) = 1

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so that

\boxed{2 \sin(\theta) - \sin(2\theta) \cos(\theta) = 2 \sin^3(\theta)}

8 0
2 years ago
Does anyone know this answer?
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