Question

If sin θ/cos 300=1/√3, θ is an acute angle, then find θ. ​

Answer 1

$\frac{ \sin \: θ}{ \cos \: 30} = \frac{1}{ \sqrt{3} } \\ \\ \\ \sin \: θ = \frac{1}{ \cancel{\sqrt{3} }} \times \frac{ \cancel{\sqrt{3}} }{2} = \frac{1}{2} \\ \\ \\ \sinθ = \frac{1}{2} \\ \\ \sinθ = \sin30 \\ \\ \\ \ttθ \: = 30 \degree$