Practicing Success
If sin θ = \(\sqrt {3 }\)cos θ, then what is the value of cosecθ ? |
\(\frac{√3}{2}\) 1 \(\frac{2}{√3}\) 0 |
\(\frac{2}{√3}\) |
sin θ = \(\sqrt {3}\) cos θ ⇒ \(\frac{sin θ}{cos θ}\) = \(\sqrt {3}\) ⇒ tan θ = \(\sqrt {3}\) θ = 60° cosecθ = cosec(60°) = \(\frac{2}{√3}\) |