hdpwfv
hdpwfv
06-07-2018
Mathematics
contestada
if csc θ=8/7, which equation represents cotθ
Respuesta :
mkryukova19
mkryukova19
06-07-2018
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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