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2 years ago

16) Please help with this question. Please answer with normal text (Ex: pi/4,etc... not math settings).

Mathematics

1 answer:

svetlana [45]2 years ago

6 0

We can use tan(x) = sin(x)/cos(x). Plug in numbers to get:
tan(x+pi/2) = sin(x+pi/2)/cos(x+pi/2)

Here, you can use the sin and cos addition identity:
tan(x+pi/2) = (sin(x)cos(pi/2)+cos(x)sin(pi/2))/(cos(x)cos(pi/2)+sin(x)sin(pi/2))

If you simplify this, you get:
0+cos(x)/0-sin(x)

Which is the definition of cot(x). But, we can't forget about the '-' sign, so, the answer is -cot(x)

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From the question we are told that

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