- A√3 + 1
- B√3 − 1
- C1 − √3
- D√3
Step-by-Step Solution
Subtract cosθ from both sides: sinθ = (√3 − 1)cosθ. Dividing by cosθ gives tanθ = √3 − 1 ≈ 0.732. Forgetting to move the cosθ across leaves the wrong √3.
Answer: B) √3 − 1
If sinθ + cosθ = √3·cosθ, then tanθ equals:
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