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OpenStudy (anonymous):
Find all of the Radian solutions: sec 3x - sqrt2 = 0 stuck and I don't know what to do!
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OpenStudy (anonymous):
You know that sec(x) = 1/cos x. Add sqrt2 to both sides, multiply by cos x / sqrt2. Now you've got cos x = 1 / sqrt2: |dw:1398086330034:dw|
OpenStudy (anonymous):
oops i didn't see that you said 3x. follow my argument again but replace x by 3x. you have cos 3x = 1 / sqrt2. Find all solutions in 3x and divide by 3.
OpenStudy (anonymous):
so, it would be pi/4 and 7pi/4, but if you divide by 3, it would be pi/12 and 7pi/12, right?
OpenStudy (anonymous):
yes, plus any multiple of 2pi/3
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