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OpenStudy (lncognlto):
Solve the equation sqr3 sinx = 1/2 sec x for 0 deg < x < 360 deg.
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OpenStudy (foreverandalways13):
the magic of a calculator...lol
OpenStudy (foreverandalways13):
ok nvmd....idk
I have noooo idea what ur doing kid....
OpenStudy (lncognlto):
lol @leah
OpenStudy (jasmineflvs):
what kind of problem is it??
OpenStudy (jdoe0001):
$$\bf \large {
\sqrt{3} sin(x) = \frac{1}{2}sec(x)\\
\sqrt{3} sin(x) = \frac{1}{2cos(x)}\\
sin(x)cos(x) = \frac{1}{2}\frac{1}{\sqrt{3}}
\implies \frac{a}{c}\frac{b}{c}\\
sin(x) = \frac{1}{2}\\
cos(x) = \frac{1}{\sqrt{3}}
}
$$
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OpenStudy (jdoe0001):
or the other way around
OpenStudy (jdoe0001):
then just arcCosine and arcSine both sides to get the angles
OpenStudy (jdoe0001):
\(\bf sin(x)cos(x) = \frac{1}{2}\frac{1}{\sqrt{3}}
\implies \frac{b}{c}\frac{a}{c}\)
had them backward :/
OpenStudy (jasmineflvs):
what kind of problem
OpenStudy (lncognlto):
Okay, so sin x = 1/sqr3 and cos x = 1/2?
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OpenStudy (jdoe0001):
or the other way around, either way will give 1/2 secx
OpenStudy (jdoe0001):
if you recall your 45-45-90 rule and your 30-60-90 rule you'd know who those guys are :)
OpenStudy (lncognlto):
Okay, thanks.
OpenStudy (jdoe0001):
yw
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