188k views
0 votes
Given that cosθ 1/3 and θ is acute, what is tanθ?

1 Answer

4 votes

Answer:

tanθ=2√2

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

User Rowan Freeman
by
8.1k points