2014 · Q55
If tan θ + cot θ = 2, then what is sin θ + cos θ equal to?
Elementary MathematicsTrigonometry
- A1/2
- B1/√3
- C√2
- D1
Explanation
tan θ + cot θ = 1/(sin θ cos θ) = 2, so (sin θ + cos θ)² = 1 + 2 sin θ cos θ = 2.
If tan θ + cot θ = 2, then what is sin θ + cos θ equal to?
Explanation
tan θ + cot θ = 1/(sin θ cos θ) = 2, so (sin θ + cos θ)² = 1 + 2 sin θ cos θ = 2.