Mathematics, 17.07.2019 03:00 NabzDayer5214
What values for theta(0< =theta< =2pi) satisfy the equation? 2 sin theta cos theta+cos theta=0 a) pi/2 , 3pi/4, 3pi/2 , 7pi/4 b) pi/2 , 7pi/6 , 3pi/2, 11pi/6 c) pi/2 ,3pi/ , 5pi/4 , 7pi/4 d) 0, pi/2, pi, 3pi/2
Answers: 1
![\bf 2sin(\theta )cos(\theta )+cos(\theta )=0\implies cos(\theta )[2sin(\theta )+1]=0\\\\ -------------------------------\\\\ cos(\theta )=0\implies \measuredangle \theta =cos^{-1}(0)\implies \measuredangle \theta = \begin{cases} \frac{\pi }{2}\\\\ \frac{3\pi }{2} \end{cases}\\\\ -------------------------------](/tpl/images/0098/5986/b19d3.png)
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What values for theta(0< =theta< =2pi) satisfy the equation? 2 sin theta cos theta+cos theta=...
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