CUET Preparation Today
If r sinθ = 1, r cosθ = \(\sqrt {3 }\), then value of (r2 tanθ) is? |
2 \(\frac{1}{\sqrt {3}}\) 2\(\sqrt {3 }\) \(\frac{4}{\sqrt {3 }}\) |
\(\frac{4}{\sqrt {3 }}\) |
r sinθ = 1 ----- (i) r cosθ = \(\sqrt {3 }\) squaring and adding r2sin2θ + r2cos2θ = 4 ⇒ r2(sin2θ + cos2θ) = 4 ⇒ r2 = 4 ⇒ r = 2 divide (i) by (ii) tanθ = \(\frac{1}{\sqrt {3 }}\) r2tanθ = \(\frac{4}{\sqrt {3 }}\) |
