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olga55 [171]
3 years ago
8

Prove the identity cos(x-y)-cos(x+y)=2sinx siny

Mathematics
1 answer:
True [87]3 years ago
8 0

Answer:

see explanation

Step-by-step explanation:

Using the Addition/ Subtraction formulae for cosine

Consider the left side

cos(x - y) - cos(x + y)

= cosxcosy + sinxsiny - (cosxcosy - sinxsiny) ← distribute

= cosxcosy + sinxsiny - cosxcosy + sinxsiny ← collect like terms

= 2sinxsiny = right side ⇒ proven

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e-lub [12.9K]

Answer:

6.065; 7.358 ; 6.694

Step-by-step explanation:

Given that, profit is quoted using the function :

R = 2pe ^ -0.1p

(a)

When price 'p' = $5

R = 2(5)e^(-0.1*5)

R = 10e^(-0.5)

R = 10 * 0.6065306

R = 6.065

B)

When price 'p' = $10

R = 2(10)e^(-0.1*10)

R = 20e^(-1)

R = 20 * 0.3678794

R = 7.358

C.)

When price 'p' = $15

R = 2(15)e^(-0.1*15)

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R = 6.694

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3 years ago
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Step-by-step explanation:

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3 0
3 years ago
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Marrrta [24]
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Explanation
3 0
3 years ago
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I believe the answer is "true".
5 0
3 years ago
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Which expression is equivalent to 30 (1/2x - 2) +40 (3/4y-4)? (will add pic)
bixtya [17]

Answer:

C

Step-by-step explanation:

Given

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7 0
3 years ago
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