Which is smaller- 1256 or 1265-

Since 65 gt;56 then we get, 165156 This gives, 12651256 .So the smaller one is 1265 . ...

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Mixed Fraction

Which is smal...

Question

Which is smaller: $\frac{12}{56}$ or $\frac{12}{65}$ ?

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({log}_{(e - 1)} 2 + {log}_{2} (e - 1))

Prove, $c o s^{- 1} \frac{12}{13} + s i n^{- 1} \frac{3}{5} = s i n^{- 1} \frac{56}{65}$

{cos}^{- 1} \frac{12}{13} + {sin}^{- 1} \frac{3}{5} = {sin}^{- 1} \frac{56}{65}

If sin A = $\frac{4}{5}$ and cos B = - $\frac{12}{13}$ , where A and b lie in first

and third quadrant respectively, then cos(A + B) =

sin^{- 1} \frac{3}{5} + cos^{- 1} \frac{12}{13} = sin^{- 1} (\frac{56}{65})

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