Homework Help: Math

Posted by Diana on Monday, January 11, 2010 at 11:22pm.

Solve the equation for x in the interval 0<x<2pi

1/ 1+tan^2x = -cos x

How would i do this? im thinking of maybe changing the 1+tan to sec^2x?

Math - drwls, Tuesday, January 12, 2010 at 1:27am
Good idea. Use 1+tan^2 x = sec^2x
Then
1/(1+tan^2x) = -cos x
becomes
1/sec^2x = -cosx
cos^2x + cosx = 0
cosx (cosx + 1) = 0
cos x = 0 or -1
x = pi/2, 3 pi/2 or pi

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