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Juliette [100K]
3 years ago
8

Find the general solution for cos x = 0, where n is an integer.

Mathematics
1 answer:
Romashka-Z-Leto [24]3 years ago
6 0
First we solve this equation:
x = cos^-1(0) = pi/2 and 3pi/2

Now, this is the answer for angles between 0 and 2pi

but there are "negative angles" and angles larger than 2pi
so the general solution that includes all of these cases is:

x = pi/2 + n*pi

here n is any integer.
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[ reason. - power of smaller number is in negative, it means, it is denominator, which would be very small as compared to other ]

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