Prove that sin 3sin - 113 - 2327

Let sin^ 1(13)=x ∴sin x=13 Hence sin(3x)=sin(3sin^ 113) sin3x=3sin x 4sin^3x =3×13 4×127 =1 427 =2327 ...

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Range of Trigonometric Expressions

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Prove that $sin (3 {sin}^{- 1} \frac{1}{3}) = \frac{23}{27}$

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\sqrt{23 + \sqrt{528}} = 2 \sqrt{3} + \sqrt{11}

\frac{9^{n} \times 3^{2} \times {(3}^{- \frac{n}{2}})^{- 2} - 27^{n}}{3^{3 m} \times 2^{3}} = \frac{1}{27}

\frac{9^{n} \times 3^{2} \times {(3^{- n / 2})}^{- 2} - {(27)}^{n}}{3^{3 m} \times 2^{3}} = \frac{1}{27}

m - n = 1

\frac{9^{n} \times 3^{2} \times (3^{- n / 2})^{- 2} - (27)^{n}}{3^{3 m} \times 2^{3}}

\frac{1}{27}

\frac{9^{b} \times 3^{2} \times {⎛ ⎜ ⎝ 3^{\frac{- b}{2}} ⎞ ⎟ ⎠}^{- 2} - {(27)}^{b}}{3^{3 a} \times 2^{3}} = \frac{1}{27}

a - b = 1

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