Ask Question
30 April, 14:55

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

+1
Answers (1)
  1. 30 April, 15:15
    0
    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
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “Given that cosθ 1/3 and θ is acute, what is tanθ? ...” in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers