annabelwosenu annabelwosenu
  • 05-06-2020
  • Mathematics
contestada

given that cosθ 1/3 and θ is acute, what is tanθ?

Respuesta :

lucasella
lucasella lucasella
  • 05-06-2020

Answer:

tanθ=2√2

Step-by-step explanation:

cosθ= 1/3, and θ is acute;

cos²θ=1/9

sin²θ+cos²θ=1

sin²θ=1-cos²θ=1-1/9=8/9

=> sinθ=√(8/9)=2√2 /3

tanθ=sinθ/cosθ

tanθ=(2√2 /3)/(1/3)=2√2

tanθ=2√2

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