\(\rm \tan^{-1}\left[\cos\left(-{\pi\over2}\right)\right]\)चे मूळ मूल्य किती आहे?

  1. 0
  2. π/2
  3. -π/2
  4. 1

Answer (Detailed Solution Below)

Option 1 : 0
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Detailed Solution

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संकल्पना:

cos (-θ) = cos θ 

\(\cos\left({\pi\over2}\right) = 0\)

 

गणना:

x = \(\rm \tan^{-1}\left[\cos\left(-{\pi\over2}\right)\right]\)

x = \(\rm \tan^{-1}\left[\cos\left({\pi\over2}\right)\right]\)

x = \(\rm \tan^{-1}\left[0\right]\)

∵ मूळ मूल्य ∈ \(\left[-{\pi\over2},{\pi\over2}\right]\)असू शकते

∴ x = 0

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