Cos -11-2-2 sin -11-2 is equal to

The correct option is C 2π/3cos^ 1(1/2 )+2 sin^ 1(1/2 )=π/3+2.π/6=π/3+π/3=2π/3 ...

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Composition of Trigonometric Functions and Inverse Trigonometric Functions

cos -11/2+2 s...

Question

$c o s^{- 1} (\frac{1}{2}) + 2 s i n^{- 1} (\frac{1}{2})$ is equal to

π/6

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π/3

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2π/3

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π/4

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Solution

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\begin{matrix} {cos}^{- 1} \frac{1}{2} + 2 {sin}^{- 1} \frac{1}{2} \end{matrix}

{cos}^{- 1} (\frac{1}{2}) + 2 {sin}^{- 1} (\frac{1}{2})

{cos}^{- 1} \frac{1}{2} + 2 {sin}^{- 1} \frac{1}{2}

{cos}^{- 1} (\frac{1}{2}) + 2 {sin}^{- 1} (\frac{1}{2}) = \frac{2 π}{3}

$c o s^{- 1} (- \frac{1}{2}) - 2 s i n^{- 1} (\frac{1}{2}) + 3 c o s^{- 1} (- \frac{1}{\sqrt{2}}) - 4 t a n^{- 1} (- 1)$ equals to

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