If $$\sin(\theta+30^{\circ})=\frac{3}{\sqrt{12}}$$, then the value of $$\theta$$ is equal to:
Given, Â $$\sin(\theta+30^{\circ})=\frac{3}{\sqrt{12}}$$
$$\Rightarrow$$ Â $$\sin(\theta+30^{\circ})=\frac{3}{2\sqrt{3}}$$
$$\Rightarrow$$ Â $$\sin(\theta+30^{\circ})=\frac{\sqrt{3}\times\sqrt{3}}{2\sqrt{3}}$$
$$\Rightarrow$$ Â $$\sin(\theta+30^{\circ})=\frac{\sqrt{3}}{2}$$
$$\Rightarrow$$ Â $$\sin(\theta+30^{\circ})=\sin60^{\circ\ }$$
$$\Rightarrow$$ Â $$\theta+30^{\circ}=60^{\circ\ }$$
$$\Rightarrow$$ Â $$\theta=30^{\circ\ }$$
Hence, the correct answer is Option C
Create a FREE account and get: