Final answer:
To find tanθ when cotθ = 0.7813, take the reciprocal of cotθ. After calculating, tanθ is approximately 1.2798, which corresponds to option (a).
Step-by-step explanation:
The trigonometric function cotangent (cotθ) is the reciprocal of tangent (tanθ). If we know that cotθ = 0.7813, to find tanθ we simply take the reciprocal of 0.7813.
To calculate the reciprocal, you divide 1 by cotθ:
- tanθ = 1 / cotθ
- tanθ = 1 / 0.7813
- tanθ ≈ 1.2798
Therefore, the answer is 1.2798, which corresponds to option (a).