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

1.	If \(\sin \left( {\theta + 30^\circ } \right)\) = \(\frac{3}{{\sqrt {12} }}\), then the value of θ is equal to:1. 15°2. 60°3. 30°4. 45°
Answer» Correct Answer - Option 3 : 30° Calculation: sin(θ + 30°) = 3/√12 ⇒ sin(θ + 30°) = 3/2√3 ----(√12 = 2√3) ⇒ sin(θ + 30°) = (3/2√3) × (√3/√3) ⇒ sin(θ + 30°) = (3/2√3) × (√3/√3) ⇒ sin(θ + 30°) = √3/2 ⇒ sin(θ + 30°) = sin 60° ⇒ (θ + 30°) = 60° ⇒ θ = 30° The value of θ is equal to 30°

If \(\sin \left( {\theta + 30^\circ } \right)\) = \(\frac{3}{{\sqrt {12} }}\), then the value of θ is equal to:1. 15°2. 60°3. 30°4. 45°

Answer» Correct Answer - Option 3 : 30°

Calculation:

sin(θ + 30°) = 3/√12

⇒ sin(θ + 30°) = 3/2√3 ----(√12 = 2√3)

⇒ sin(θ + 30°) = (3/2√3) × (√3/√3)

⇒ sin(θ + 30°) = √3/2

⇒ sin(θ + 30°) = sin 60°

⇒ (θ + 30°) = 60°

⇒ θ = 30°

The value of θ is equal to 30°