If $sin(θ+30°)=\frac{3}{\sqrt{12}}$, then the value of θ is equal to:
Answer & explanation
Correct answer: option 4
sin(θ + 30º) = \(\frac{3 }{√12}\)
= \(\frac{3 }{√12}\) × \(\frac{√12 }{√12}\)
= \(\frac{3√12 }{12}\)
= \(\frac{√3 }{2}\)
We know,
sin 60º = \(\frac{√3 }{2}\)
So , (θ + 30º) = 60º
θ = 30º