Wednesday, May 1, 2013

Solve secΘ-2tanΘ=0

Solution:


sec%28theta%29-2tan%28theta%29=0 

1%2Fcos%28theta%29-%282sin%28theta%29%29%2Fcos%28theta%29=0 

%281-2sin%28theta%29%29%2Fcos%28theta%29=0 

but the denominator contributes no zeros... 

1-2sin%28theta%29=0 


sin%28theta%29=1%2F2 

on 

0%3C=x%3C=2pi
theta=pi%2F6 
or 
theta=%285pi%29%2F6 

so the general solution is 

2+%2Api%2A+n%2Bpi%2F6
or
2%2A+pi+%2An%2B5pi%2F6
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