If sin-113 - sin-123 - sin-1 x- then x is equal to

The correct option is B √(5)+4√(2)9 sin^ 113+sin^ 123 sin ^ 1{13√(1 (23)^2)+23√(1 (13)^2)} sin^ 1{13(√(5)3)+23(√(8)3)} sin^ 1{√(5)+4√(2)9 ...

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Properties Derived from Trigonometric Identities

If sin-113 ...

Question

If $s i n^{- 1} (\frac{1}{3}) + s i n^{- 1} (\frac{2}{3}) = s i n^{- 1} x$ , then x is equal to

0

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\frac{\sqrt{5} + 4 \sqrt{2}}{9}

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\frac{5 \sqrt{2} - 4 \sqrt{5}}{9}

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\frac{π}{2}

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Similar questions

{sin}^{- 1} \frac{1}{3} + {sin}^{- 1} \frac{2}{3} = {sin}^{- 1} x,

x

{sin}^{- 1} x + {cot}^{- 1} (\frac{1}{2}) = \frac{π}{2},

x

{sin}^{- 1} \frac{x}{5} + {c o s e c}^{- 1} \frac{5}{4} = \frac{π}{2}

x

s i n^{- 1} (c o s {\frac{x^{2} + 3 | x | + 4}{x^{2} + 3 | x | + 5}}) = s i n (s i n^{- 1} {\frac{1 - 9 | x |}{9 | x |}}) + \frac{π}{2},

{s i n}^{- 1} x, {c o s}^{- 1} x, {t a n}^{- 1} x

{t a n}^{- 1} x + {t a n}^{- 1} y = {t a n}^{- 1} \frac{x + y}{1 - x y}

x y < 1

π + {t a n}^{- 1} \frac{x + y}{1 - x y}

x y > 1

{s i n}^{- 1} (3 x / 5) + {s i n}^{- 1} (4 x / 5) = {s i n}^{- 1} x

{c o s}^{- 1} x + {s i n}^{- 1} (\frac{1}{2} x) = \frac{π}{6}

a \leq {t a n}^{- 1} (\frac{1 - x}{1 + x}) \leq b

0 \leq x \leq 1

(a, b) =

(0, π)

(0, π / 4)

(- π / 4, π / 4)

(π / 4, π / 2)

a \leq {({s i n}^{- 1} x)}^{3} + {({c o s}^{- 1} x)}^{3} \leq b

(\frac{π^{3}}{32}, \frac{7 π^{3}}{8})

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