Solve :
root 3 sin theta + cos theta = root 2
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15°
Step-by-step explanation:
⇒ √3 sinθ + cosθ = √2
Divide both sides by 2
⇒ (√3 sinθ + cosθ)/2 = √2/2
⇒ (√3/2) sinθ + cosθ(1/2) = 1/√2
⇒ (cos30°)sinθ + cosθsin30° = sin45°
Using sinAcosB + cosAsinB = sin(A+B)
⇒ sin(θ + 30°) = sin45°
⇒ θ + 30° = 45°
⇒ θ = 15°
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