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xxMikexx [17]
3 years ago
10

How much wood could a woodpecker peck if a woodpecker could peck wood? (this is a legitimate question on my homework)​

Mathematics
1 answer:
Nimfa-mama [501]3 years ago
8 0
A woodpecker can chuck wood
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Verify the identity. cot(x - pi/2) = -tan(x)
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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)

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I hope it helps. .........

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Step-by-step explanation:

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Please help me this is due today
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