Calculate 192 - 214 sin -1 - 2 tan-1 - -3-

arcsin( 1)+2arctan( √(3)) = π2+2 π3 = 7π6 ...

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Standard XII

Mathematics

Basic Inverse Trigonometric Functions

Calculate 192...

Question

Calculate (192 - 214)
${sin}^{- 1}$ + 2 ${tan}^{- 1}$ (- $\sqrt{3}$ ).

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Solution

$arcsin (- 1) + 2 arctan (- \sqrt{3})$

$= - \frac{π}{2} + 2 \frac{- π}{3}$

$= \frac{- 7 π}{6}$

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Calculate (192 - 214)sin−1 + 2 tan−1 (-√3).

arcsin(−1)+2arctan(−√3)=−π2+2−π3=−7π6

Calculate (192 - 214)
${sin}^{- 1}$ + 2 ${tan}^{- 1}$ (- $\sqrt{3}$ ).

$arcsin (- 1) + 2 arctan (- \sqrt{3})$

$= - \frac{π}{2} + 2 \frac{- π}{3}$

$= \frac{- 7 π}{6}$