If $$\sin \left( {\theta + {{30}^ \circ }} \right) = \frac{3}{{\sqrt {12} }}{\text{,}}$$ then find $${\text{co}}{{\text{s}}^2}\theta ?$$ Options: A . &nbsp$$\frac{1}{4}$$ B . &nbsp$$\frac{3}{4}$$ C . &nbsp$$\frac{{\sqrt 3 }}{2}$$ D . &nbsp$$\frac{1}{2}$$

If $$\sin \left( {\theta + {{30}^ \circ }} \right) = \frac{3}{{\sqrt {12} }}{\te

Question

If $$\sin \left( {\theta + {{30}^ \circ }} \right) = \frac{3}{{\sqrt {12} }}{\text{,}}$$ then find $${\text{co}}{{\text{s}}^2}\theta ?$$

Options:

A . $$\frac{1}{4}$$

B . $$\frac{3}{4}$$

C . $$\frac{{\sqrt 3 }}{2}$$

D . $$\frac{1}{2}$$

Answer: Option B

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