CUET Preparation Today
If r sinθ = \(\sqrt { 3}\) and r cosθ = 1, the value of r and θ are? |
r = 1, θ = 30° r = 2, θ = 60° r = 2, θ = 45° r = \(\sqrt {3}\), θ = 45° |
r = 2, θ = 60° |
r sinθ = \(\sqrt {3 }\) r cosθ = 1 squaring and adding ⇒ r2 (sin2θ + cos2θ) = 4 ⇒ r2 = 4 (because sin2θ + cos2θ = 1) \(\frac{r\;sinθ}{r\;cosθ}\) = \(\sqrt { 3}\) ⇒ tanθ = \(\sqrt {3 }\) ⇒ θ = 60°, r = 2 |
