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Find the value of x when cos (x) = sin (30) / tan (30).

User Sharptooth
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time to get your Unit Circle, if you don't have one, this will be a good time to get one, you can get many online.


cos(x)=\cfrac{sin(30^o)}{tan(30^o)}\implies cos(x)=\cfrac{~~ (1)/(2)~~}{(1)/(√(3))}\implies cos(x)=\cfrac{1}{2}\cdot \cfrac{√(3)}{1} \\\\\\ cos(x)=\cfrac{√(3)}{2}\implies \measuredangle x=cos^(-1)\left( \cfrac{√(3)}{2} \right)\implies \measuredangle x=30^o

User Bhanu Chawla
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