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Question

If $4 cos squared space theta equals 3 text then end text theta equals negative midline horizontal ellipsis minus negative$

$\frac{π}{6}, \frac{5 π}{6}$
$\frac{π}{4}, \frac{3 π}{4}$
$\frac{π}{3}, \frac{2 π}{3}$
$\pm \frac{π}{2}$

hint Hint:

In this question, we have to find the value of $theta comma comma space i f space 4 cos squared theta equals 3$ . Firstly, we will solve the function till we get the value of cos $theta$ . Later using that we can find the value of $theta$ .

The correct answer is: $pi over 6 comma fraction numerator 5 pi over denominator 6 end fraction$

$4 space cos squared theta equals 3 rightwards double arrow cos squared theta equals 3 over 4 rightwards double arrow cos space theta space equals fraction numerator square root of 3 over denominator 2 end fraction rightwards double arrow cos space theta equals cos space pi over 6 space o r space cos space fraction numerator 5 pi over denominator 6 end fraction rightwards double arrow theta equals pi over 6 comma fraction numerator 5 pi over denominator 6 end fraction$

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