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Answer:
θ = 52.71° or 232.71°
In radians
θ = 0.2928π rad or 1.2928π rad
That is,
θ = 0.92 rad or 4.06 rad
Step-by-step explanation:
Cot θ = 0.7615 for 0 ≤ θ ≤ 2π
Note that Cot θ = (1/tan θ)
(1/tan θ) = 0 7615
tan θ = (1/0.7615) = 1.3132
θ = tan⁻¹ (1.3132) = 52.71°
But, note that tan is also positive in the 3rd quadrant, hence,
θ is also equal to 180° + 52.71° = 232.71°
θ = 52.71° or 232.71°
We now convert to radians
360° = 2π
52.71° = (52.71 × 2π)/360 = 0.2928π = 0.92 radian
232.71° = (232.71 × 2π)/360 = 1.2928π = 4.06 radians
Hope this Helps!!!
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line LR
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