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JEE Math Practice Question

If the inverse trigonometric functions take principal values then $${\cos ^{ - 1}}\left( {{3 \over {10}}\cos \left( {{{\tan }^{ - 1}}\left( {{4 \over 3}} \right)} \right) + {2 \over 5}\sin \left( {{{\tan }^{ - 1}}\left( {{4 \over 3}} \right)} \right)} \right)$$ is equal to :

  1. A.0
  2. B.$${\pi \over 4}$$
  3. C.$${\pi \over 3}$$
  4. D.$${\pi \over 6}$$

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