Yahoo Answers is shutting down on May 4th, 2021 (Eastern Time) and the Yahoo Answers website is now in read-only mode. There will be no changes to other Yahoo properties or services, or your Yahoo account. You can find more information about the Yahoo Answers shutdown and how to download your data on this help page.
Trending News
solve sec²θ - 2tanθ - 3 = 0. state the general solution to the nearest degree.?
show work please :)
2 Answers
- sepiaLv 712 months ago
sec²θ - 2tanθ - 3 = 0
sec^2(θ) = 2 tan(θ) + 3
Solutions:
θ ≈ 2 (3.1416 n - 0.96084), n element Z
θ ≈ 2 (3.1416 n + 0.60996), n element Z
θ ≈ 2 (3.1416 n + 1.2548), n element Z
θ ≈ 2 (3.1416 n - 0.31596), n element Z
- AshLv 712 months ago
sec²θ - 2tanθ - 3 = 0
(1 + tan²θ) - 2tanθ - 3 = 0
tan²θ - 2tanθ - 2 = 0
tanθ = [-(-2)±√((-2)²-4*1*(-2))]/2
tanθ = (2±√12)/2
tanθ = (2±2√3)/2
tanθ = 1±√3
θ = arctan (1±√3)
θ = (180n - 36)° , (180n + 70)° for n = -∞ to ∞
