Question

if costheta=√3/2 . prove that tantheta=1/√3 and cosectheta = 2​

Answer 1

$\huge\green{\boxed{\sf Answer}}$

tanθ=3/4

sec²θ =1+tan²θ =1+(3/4)²=1+9/16=25/16

Hence secθ = ±√(25/16)=±5/4

Hence cosθ=1/secθ=±4/5

Since tanθ=sinθ/cosθ

Hence sinθ=tanθ ×cosθ

Hence sinθ=(3/4)×(±4/5)=±3/5