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Vesnalui [34]
3 years ago
9

Complete the identity. =( sin (alpha +beta))/ (cos alpha cos beta)=?

Mathematics
1 answer:
dem82 [27]3 years ago
4 0
Hi, We know:

Sin(a + b) = 2.Sin(a).Sin(b)

Then,

= 2Sin(a).Cos(b)/Cos(a).Cos(b)

Canceling Cos(b)

= 2Sin(a)/Cos(a)

As Tan(a) = Sin(a)/Cos(a)

Then we will stay:

= 2Tan(a)

Or

= Tan(a) + Tan(a)

There is anything wrong on the alternatives
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Find the amount of degrees in x, if the three angles of a triangle are 2x, 2x, and 32 degrees.
Phoenix [80]

Answer: 2x=74

Step-by-step explanation:

Every triangle is 180 degrees.

so you will take 180-32= 148

then with that you will add up the x's and there are 4...

so then you will take 148/4 and get the answer of...

148/4=37

x=37

but it asked for 2x

37*2

2x=74

final answer is 74

3 0
2 years ago
A sequence of numbers begins with 12 and progresses
Gnom [1K]

Answer:

The common ratio is the current number divided by the previous. So the ratio is 1/2

Step-by-step explanation:

You can obtain any number multiplying the previous number times 1/2.

6 = 12 *(1/2)

3 = 6*(1/2)

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6 0
3 years ago
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A nightclub has approximated the demand for their Thursday night drink special by p^2+200q^2=177​, where p is the price​ (in dol
Irina18 [472]

Answer:

Step-by-step explanation:

Given the approximate demand function of night drink expressed as;

p^2+200q^2=177​,

p is the price​ (in dollars) and;

q is the quantity demanded​ (in thousands).

Given

p = $7

q = 800

Required

dq/dp

Differentiating the function implicitly with respect to p shown;

2p + 400d dq/dp = 0

400q dq/dp = -2p

200qdq/dp = -p

dq/dp = -p/100q

substitute p and q into the resulting equation;

dq/dp = -7/100(800)

dq/dp = -7/80000

dq/dp = -0.0000875

This means that the rate of change of quantity demanded with respect to the price is  -0.0000875

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Step-by-step explanation:

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Passes through (-1,4) and has a slope of 4
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Answer:

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8 0
3 years ago
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