Question

What is the answer to this?

Answer 1

9514 1404 393

Answer:

  cot(θ) = 24/7

Step-by-step explanation:

A suitable calculator can answer this nicely.

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Perhaps you're expected to remember relevant trig identities.

  tan(θ)^2 = sec(θ)^2 -1

  cot(θ) = 1/tan(θ)

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  cot(θ) = 1/√(sec(θ)^2 -1)

  cot(θ) = 1/√((25/24)^2 -1) = 24/√(25^2 -24^2) = 24/√49

  cot(θ) = 24/7