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Let a be a real number such that 0 < a < \frac{\pi}{2}. Show that \left(\sin(a)\right)^7 + \left(\cos ( a)\right)^7< 2*sin(a)^4*cos(a)^4.

 Jun 8, 2024
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\( \left(\sin(a)\right)^7 + \left(\cos ( a)\right)^7< 2*sin(a)^4*cos(a)^4. \)

 

\(0 < a < \frac{\pi}{2} \)

 

This doesn't appear to be true

 

 

cool cool cool

 Jun 8, 2024

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