Question Detail
Question
If tan θ = 13, then cot(π/4 - θ) = ?
Correct Answer
Option E is the correct answer.
Detailed Explanation
tan(π/4 - θ) = (1 - tanθ)/(1 + tanθ) = (1 - 13)/(1 + 13) = -12/14 = -6/7. Therefore, cot(π/4 - θ) = 1 / tan(π/4 - θ) = -7/6.
Hint
Use the identity for tan(A - B), then take the reciprocal.