If ^ -1 [( )^ 1 2 ]+ ^ -1 [( )^ 1 2 ]=x , then sin x =

Mathematics · JEE Main · NTA ExamsTrigonometry

If \(\cot ^{-1}\left[(\cos \alpha)^{\frac{1}{2}}\right]+\tan ^{-1}\left[(\cos \alpha)^{\frac{1}{2}}\right]=x\), then sin x =
  1. 1
  2. cot2(α/2)
  3. tanα
  4. cot(α/2)

Answer

(A) 1

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