Question

what is
${ \cos( \alpha ) }^{3} + { \sin( \alpha ) }^{3} =$
​

Answer 1

Answer:

Step-by-step explanation:

We have,

$\tt{cos^{3}(\alpha)+sin^{3}(\alpha)}$

$\tt{=\big(cos(\alpha)+sin(\alpha)\big)\big(cos^{2}(\alpha)+sin^{2}(\alpha)-cos(\alpha)\,sin(\alpha)\big)}$

$\tt{=\big(cos(\alpha)+sin(\alpha)\big)\big(1-cos(\alpha)\,sin(\alpha)\big)}$