If sin θ = \(\sqrt {3 }\)cos θ, then what is the value of cosecθ ?
Answer & explanation
Correct answer: option 3
sin θ = \(\sqrt {3}\) cos θ
⇒ \(\frac{sin θ}{cos θ}\) = \(\sqrt {3}\)
⇒ tan θ = \(\sqrt {3}\)
θ = 60°
cosecθ = cosec(60°) = \(\frac{2}{√3}\)