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Eduardwww [97]
2 years ago
9

Please help i've been doing this ages

Mathematics
1 answer:
inn [45]2 years ago
3 0
Sin is equal to opposite over hypotenuse
With this we know that
Opposite = sqrt(12)
Hypotenuse = 4
To find adjacent we need to use the Pythagorean theorem
12 + adj^2 = 4^2
We then solve for adj
12 + adj^2 =16
adj^2 =4
adj =2
Now that we have opposite, adjacent, and hypotenuse, we can find cos and tan
Cos is equal to adj/hypotenuse
Cos = 2/4 = 1/2
Tan is equal to opp/adj
Tan = sqrt(12)/2
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Simplify and write the trig expression in terms of sin and cos
dsp73

We have:

cot(-x)cos(-x)+sin(-x)=-\frac{1}{f(x)}

Then we use trigonometric identities to change the negative sign of the trigonometric functions, so:

-sin(x)-cot(x)cos(x)=-\frac{1}{f(x)}

We clear f(x):

f(x)=\frac{1}{sin(x)+cot(x)cos(x)}=\frac{1}{sin(x)+\frac{cos(x)}{sin(x)}cos(x)}=\frac{1}{sin(x)+\frac{cos^2(x)}{sin(x)}}

we simply what we can:

f(x)=\frac{1}{\frac{sin^2(x)+cos^2(x)}{sin(x)}}=sin(x)

Thus, the correct answer is;

f(x)=sin(x)

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1 year ago
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gayaneshka [121]
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3 years ago
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PtichkaEL [24]
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4 0
2 years ago
Suppose you are putting up a tent for a camping trip.
SSSSS [86.1K]

The length of the rope needed is 15 feet

Given the following parameters;

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Required

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To get the length of the rope, you will use the pythagoras theorem expressed as:

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Substituting the given parameters:

c² = 9² + 12²

c² =81 + 144

c² = 225

c = √225

c = 15 feet

Therefore the length of the rope needed is 15 feet

Learn more on Pythagoras theorem here: brainly.com/question/231802

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