If csc θ=8/7, which equation represents cotθ

1 answer:

6 0

Sin θ = opposite leg/hypotenuse
csc θ = hypotenuse /opposite leg =8/7

cot θ = adjacent leg/opposite leg

hypotenuse =8
opposite leg =7
We need to find adjacent leg.

(Opposite leg)² +(adjacent leg)² = hypotenuse²
7² + (adjacent leg)² =8²
(adjacent leg)² = 64 - 49
(adjacent leg)² = 15

adjacent leg=+/-√15
WE need only positive root,
so adjacent leg =√15

cot θ = √15/7 or 0.5533

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