- A30°
- B45°
- C60°
- D15°
Step-by-Step Solution
The conjugate gives secθ − tanθ = 1/√3. Adding: 2secθ = √3 + 1/√3 = 4/√3, so secθ = 2/√3 and cosθ = √3/2, i.e. θ = 30°. Check: tan30° + sec30° = 0.577 + 1.155 = 1.732 = √3.
Answer: A) 30°
If tanθ + secθ = √3 and 0° < θ < 90°, then θ equals:
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