Mathematics: If 2sin theta = √3, (0° theta 90° ), then find the value of theta

If 2sin theta = √3, (0° theta 90° ), then find - id2309015320439, maribelmartine8919

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Gabby1493

22.02.2022

$2sin(\theta )+\sqrt{3}=0\implies 2sin(\theta )=-\sqrt{3}\implies sin(\theta )=-\cfrac{\sqrt{3}}{2} \\\\\\ sin^{-1}\left[ sin(\theta ) \right]=sin^{-1}\left( -\cfrac{\sqrt{3}}{2} \right) \implies \theta =sin^{-1}\left( -\cfrac{\sqrt{3}}{2} \right)\implies \theta \begin{cases} \stackrel{III~Quadrant}{\frac{4\pi }{3}}\\\\ \stackrel{IV~Quadrant}{\frac{5\pi }{3}} \end{cases}$

check your Unit Circle.

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lamwil9432

09.10.2022

Mathematics

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If 2sin theta = √3, (0° < theta <90° ), then find the value of theta

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