Posted by **Wayne** on Sunday, May 19, 2013 at 6:39am.

General solution

Cos^2 +3sin= -3

- math -
**Reiny**, Sunday, May 19, 2013 at 7:55am
cos^2 x + 3sinx = -3

1 - sin^2 x + 3sinx + 3 = 0

sin^2 x - 3sinx - 4 = 0

(sinx -4)(sinx + 1) = 0

sinx = 4 , which is not possible

or

sinx = -1

x = 3π/2

since the period of sinx is 2π

general solution:

x = 3π/2 + 2kπ, where k is an integer.

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