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mars1129 [50]
3 years ago
10

Sin (3x)cos(6x) - cos (3x) sin(6x)=-0.9

Mathematics
2 answers:
yawa3891 [41]3 years ago
8 0

Answer:

Step-by-step explanation:

sin(3x)cos(6x)-cos(3x)sin (6x)=-0.9

sina cos b-cos asin b=sin(a-b)

sin(3x-6x)=-0.9

sin(-3x)=-0.9

-sin (3x)=-0.9

sin (3x)=0.9

3x=arcsin (0.9)≈64.16°,115.84°

3x=360n+64.16,360n+115.84

x=120 n+21.39°,120 n+38.61°

geniusboy [140]3 years ago
6 0

Answer:

x=21.38602241

Step-by-step explanation:

Given: sin(3x)cos(6x) - cos(3x)sin(6x) = -0.9

Rewrite as difference identity: sin(3x-6x)=-0.9

Combine like terms in parentheses: sin(-3x)=-0.9

Take the inverse sine of both sides: -3x=-64.15806724

Divide both sides by -3: x=21.38602241

Refer to the sheet to see all trigonometric identities

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Answer:

4.6 feet

Step-by-step explanation:

The equation is:

h=-16t^2+vt+s

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s is initial height (given as 0.6)

Substituting, we can write:

h=-16t^2+16t+0.6

This is a quadratic equation of the general form:  at^2+bt+c

Which we can conclude the coefficients to be:

a = -16

b = 16

c = 0.6

The max height occurs at the value:  t=-\frac{b}{2a}

So, max height occurs at:

t=-\frac{16}{2(-16)}\\t=0.5

We will get the max height if we put  t = 0.5  into the original equation. So that would be:

h=-16t^2+16t+0.6\\h=-16(0.5)^2+16(0.5)+0.6\\h=4.6

Max Height = 4.6 feet   (occurs at t = 0.5 seconds)

8 0
4 years ago
The Chang family is on their way home from a cross-country road trip. During the trip, the function D(t)=3260−55t can be used to
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Answer:

D(12) = 2,600 miles

It means a distance of 2,600 miles is already traveled from home after 12 hours

Step-by-step explanation:

To find D(12); all we have to do is to substitute the value of 12 for D

We have this as;

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D(12) = 2,600

In the context of this problem, what this mean is that the distance away from home is 2,600 miles after traveling 12 hours

6 0
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