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Question

If $sin invisible function application 6 theta plus sin invisible function application 4 theta plus sin invisible function application 2 theta equals 0 comma$ then $theta blank$ is equal to $blank open parentheses n element of Z close parentheses$

$\frac{n π}{4} o r n π \pm \frac{π}{3}$
$\frac{n π}{4} o r n π \pm \frac{π}{6}$
$\frac{n π}{4} o r 2 n π \pm \frac{π}{6}$
None of these

The correct answer is: $fraction numerator n pi over denominator 4 end fraction blank o r blank n pi plus-or-minus fraction numerator pi over denominator 3 end fraction$

$sin invisible function application 6 theta plus sin invisible function application 4 theta plus sin invisible function application 2 theta equals 0$
$rightwards double arrow open parentheses sin invisible function application 6 theta plus sin invisible function application 2 theta close parentheses plus sin invisible function application 4 theta equals 0$
$rightwards double arrow 2 sin invisible function application 4 theta cos invisible function application 2 theta plus sin invisible function application 4 theta equals 0$
$rightwards double arrow sin invisible function application 4 theta open parentheses 2 cos invisible function application 2 theta plus 1 close parentheses equals 0$
$rightwards double arrow sin invisible function application 4 theta equals 0$ or $cos invisible function application 2 theta equals negative fraction numerator 1 over denominator 2 end fraction equals cos invisible function application fraction numerator 2 pi over denominator 3 end fraction$
$rightwards double arrow 4 theta equals n pi blank o r blank 2 theta equals 2 n pi plus-or-minus fraction numerator 2 pi over denominator 3 end fraction comma n element of Z$
$rightwards double arrow theta equals fraction numerator n pi over denominator 4 end fraction$ or $blank theta equals n pi plus-or-minus fraction numerator pi over denominator 3 end fraction$

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