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
