Show that

Show that :
sin⁵x+cos⁵x+sin⁴xâ‰¤2 for all values of x,

2 Answers

heres my solution,

sin⁵x â‰¤ sin²x.
cos⁵x â‰¤ cos²x.
and, sin⁴x â‰¤ 1

for all values of x.

adding the three equations, we get

sin⁵x + cos⁵x + sin⁴x â‰¤ 2

Good solution. Bless you for this nice solution

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