Question

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

Answer 1

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`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`