Question

sinx + cosx =2/3 ise

sin³x + cos³x ifadesinin değerini bulunuz.​

Answer 1

$sinx + cosx = \frac{2}{3} \\ \to( {sinx + cosx})^{2} = \frac{4}{9} \\ \to 1 + 2sinxcosx = \frac{4}{9} \\ \to2sinxcosx = \frac{4}{9} - 1 \\ \to \: sinxcosx = - \frac{5}{18} \\ \\ finding \: \: \: {sin}^{3} x + {cos}^{3} x \\ = (sinx + cosx)( {sin}^{2} x - sinxcosx + {cos}^{2} x) \\ = \frac{2}{3} (1 + \frac{5}{18} ) \\ = \frac{2}{3} \times \frac{23}{18} \\ = \frac{23}{27}$

Answer 2

Step-by-step explanation:

sinx + cosx =2/3 ise

sin³x + cos³x ifadesinin değerini bulunuz.