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prisoha [69]
3 years ago
11

PLEASE SEE PIC BELOW

Mathematics
1 answer:
stepladder [879]3 years ago
4 0

Answer: third one

Step-by-step explanation: if you do the equation you will see the result and will be equivalents to numbers higher or exact to 0.

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Tan(x+pi/2)= negative cot x
DIA [1.3K]
I'm only going to alter the left hand side. The right side will stay the same the entire time

I'll use the identity tan(x) = sin(x)/cos(x) and cot(x) = cos(x)/sin(x)
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So with that in mind, this is how the steps would look:

tan(x+pi/2) = -cot x
sin(x+pi/2)/cos(x+pi/2) = -cot x
(sin(x)cos(pi/2)+cos(x)sin(pi/2))/(cos(x)cos(pi/2)-sin(x)sin(pi/2)) = -cot x
(sin(x)*0+cos(x)*1)/(cos(x)*0-sin(x)*1) = -cot x
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(cos(x))/(-sin(x)) = -cot x
-cot x = -cot x

Identity is confirmed

6 0
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