Practicing Success
Practicing Success
CUET Preparation Today
If sin θ = \(\sqrt {3 }\)cos θ, then what is the value of sin2θ? |
\(\sqrt {3 }\) \(\frac{1}{\sqrt {3 }}\) \(\frac{\sqrt {3 }}{2}\) \(\sqrt {2 }\) |
\(\frac{\sqrt {3 }}{2}\) |
sin θ = \(\sqrt {3}\) cos θ ⇒ \(\frac{sin θ}{cos θ}\) = \(\sqrt {3}\) ⇒ tan θ = \(\sqrt {3}\) θ = 60° sin 2θ = sin (2× 60°) = sin 120° = sin (180 - 60°) = sin 60° = \(\frac{\sqrt {3 }}{2}\) |
