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Leno4ka [110]
3 years ago
7

Enter the degree form for 3π/4 radians in the box.

Mathematics
1 answer:
Paraphin [41]3 years ago
3 0

Answer:

135 degrees

Step-by-step explanation:

2π radians is the central angle of a full circle, so 2π radians is 360 degrees.

That means that π radians = 180 degrees.

3π/4 radians * (180 degrees)/(π radians) = 135 degrees

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Verify the identity. cot(x - pi/2) = -tan(x)
gizmo_the_mogwai [7]

Answer:

See below.

Step-by-step explanation:

\cot(x-\frac{\pi}{2})=-\tan(x)

Convert the cotangent to cosine over sine:

\frac{\cos(x-\frac{\pi}{2} )}{\sin(x-\frac{\pi}{2})} =-\tan(x)

Use the cofunction identities. The cofunction identities are:

\sin(x)=\cos(\frac{\pi}{2}-x)\\\cos(x)=\sin(\frac{\pi}{2}-x)

To convert this, factor out a negative one from the cosine and sine.

\frac{\cos(-(\frac{\pi}{2}-x ))}{\sin(-(\frac{\pi}{2}-x))} =-\tan(x)

Recall that since cosine is an even function, we can remove the negative. Since sine is an odd function, we can move the negative outside:

\frac{\cos((\frac{\pi}{2}-x ))}{-\sin((\frac{\pi}{2}-x))} =-\tan(x)\\-\frac{\sin(x)}{\cos(x)} =-\tan(x)\\-\tan(x)\stackrel{\checkmark}{=}-\tan(x)

8 0
3 years ago
Claire deposited $500 into a savings account that earns 2.5% annual simple interest. If she keeps this amount in the account for
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Answer:

Claire will earn $25 in interest after 2 years.

7 0
3 years ago
How do you add with a negative number?
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You just subtract the number
4 0
2 years ago
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Michelle spent $32 on hot dogs and hamburgers. Hot dogs were $5 and hamburgers $6.if she bought a total of 6 items .how many of
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The answer is B 4 hot dogs = $20 and two hamburgers = $12 so 20 plus 12 equals 32 so the answer is B
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Write an equation in standard form of the parabola that has the same shape as the graph of f(x)=5x^2or g(x)=-5x^2, but with a gi
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F(x)=5x^2 Has minimum (0,0)

g(x) = f(x) + 2 Shifts the graph two units up, then the minimum is 2+0=2.

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Then h(x) = 5(x+4)^2 + 2 has the minimum (-4,2)

And p(x) = -5(x+4)^2 + 2 has the maximum (-4,2)
 
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3 years ago
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