show that (sin(a))^7+(cos(a))^7 <1 if 0

I wouldn't mind getting only an answer, but I would definitely prefer an explanation.

Guest Mar 25, 2021

#1**+1 **

By the wording of this problem, I am unsure if a=0

If so, sin(0) = 0 and cos(0) = 1. You can find these solutions using the unit circle.

Basically, 0^7 + 1^7 <1

1 is not less than 1 so it is false unless you don't know how to do a less or equal to sign. The latex form for it is \leq. \(\leq\)

MobiusLoops Mar 25, 2021