Maths-
General
Easy

Question

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

  1. pi over 6 comma fraction numerator 5 pi over denominator 6 end fraction
  2. pi over 4 comma fraction numerator 3 pi over denominator 4 end fraction
  3. pi over 3 comma fraction numerator 2 pi over denominator 3 end fraction
  4. plus-or-minus pi over 2

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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