If tan2θ = 2 tanθ - 1 . Then find the value of cotθ .
Answer & explanation
Correct answer: option 3
tan2θ = 2 tanθ - 1
tanθ = 2 - \(\frac{1}{tanθ}\)
tanθ + \(\frac{1}{tanθ}\) = 2
tanθ= 1, then θ = 45°
cotθ = cot45° = 1
If tan2θ = 2 tanθ - 1 . Then find the value of cotθ .
Correct answer: option 3
tan2θ = 2 tanθ - 1
tanθ = 2 - \(\frac{1}{tanθ}\)
tanθ + \(\frac{1}{tanθ}\) = 2
tanθ= 1, then θ = 45°
cotθ = cot45° = 1