Find θ if θ is between 0° and 90°. Round your answer to the nearest tenth of a degree. cot θ = 0.8536
A)θ = 49.4°
B)θ = 48.0°
C)θ = 49.5°
D)θ = 52.3°
E)θ = 50.6°

Question

Find θ  if θ  is between 0° and 90°. Round your answer to the nearest tenth of a degree. cot  θ = 0.8536 ​
A)θ  = 49.4°
B)θ  = 48.0°
C)θ  = 49.5°
D)θ  = 52.3°
E)θ  = 50.6°

Quizplus · Accepted Answer

To find θ when given cot θ = 0.8536, we use the inverse cotangent function or arccot. Since most calculators do not have an arccot function, we can use the relationship cot θ = 1/tan θ. Therefore, θ = arctan(1/0.8536). Calculating this gives θ ≈ 49.5°.

Find θ If θ Is Between 0° and 90°