The value of sin-1-cot sin-1-2-3-4-cos-1-12-4-sec-1-2 - is

Sin^ 1[cot (sin^ 1(√(3) 1/2√(2) )+cos^ 1√(3)/2+sec^ 1√(2) ) ]=sin^ 1[0]=0 ...

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Basic Inverse Trigonometric Functions

The value of ...

Question

The value of $s i n^{- 1} [c o t (s i n^{- 1} \sqrt{\frac{2 - \sqrt{3}}{4}} + c o s^{- 1} \frac{\sqrt{12}}{4} + s e c^{- 1} \sqrt{2})]$ is

0

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\frac{π}{4}

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\frac{π}{6}

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\frac{π}{2}

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{sin}^{- 1} ⎡ ⎣ cot ⎡ ⎣ {sin}^{- 1} ⎛ ⎝ \sqrt{\frac{2 - \sqrt{3}}{4}} ⎞ ⎠ + {cos}^{- 1} (\frac{\sqrt{12}}{4}) + {sec}^{- 1} \sqrt{2} ⎤ ⎦ ⎤ ⎦

{sin}^{- 1}

⎧ ⎨ ⎩ tan ⎛ ⎝ {cos}^{- 1} \sqrt{\frac{2 + \sqrt{3}}{4}} + {cos}^{- 1} \frac{\sqrt{12}}{4} - {cosec}^{- 1} \sqrt{2} ⎞ ⎠ ⎫ ⎬ ⎭

s i n^{- 1} ⎛ ⎝ c o t ⎛ ⎝ s i n^{- 1} \sqrt{\frac{2 - \sqrt{3}}{4}} + c o s^{- 1} \frac{\sqrt{12}}{4} + s e c^{- 1} \sqrt{2} ⎞ ⎠ ⎞ ⎠

{sin}^{- 1} {cot {{sin}^{- 1} \sqrt{\frac{2 - \sqrt{3}}{4}} + {cos} \frac{\sqrt{12}}{4} + {sec}^{- 1} \sqrt{2}}}

{sin}^{- 1} ⎡ ⎢ ⎣ cot ⎛ ⎜ ⎝ {sin}^{- 1} \sqrt{(\frac{2 - \sqrt{3}}{4})} + {cos}^{- 1} \frac{\sqrt{12}}{4} + {sec}^{- 1} \sqrt{2} ⎞ ⎟ ⎠ ⎤ ⎥ ⎦

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