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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.

 Mar 25, 2021
 #1
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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. \(\leq\)

 Mar 25, 2021
 #2
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I'm so sorry I made a typo. What I meant to write was: show that (sin(a))^7+(cos(a))^7 <1 if  0

Guest Mar 25, 2021

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