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2013 · Q81

If sinθ+cosθ=√3, then tanθ+cotθ equals

Elementary MathematicsTrigonometry
  1. A1
  2. B√2
  3. C2
  4. D√3

Explanation

(sin+cos)²=3→sin·cos=1; tan+cot=1/(sin·cos)=1. Answer A.