Solve Trigonometric Equation For x

[nycmathguy]

 

[MathLover1]

only Integer solution is x=0

 

[nycmathguy]

only Integer solution is x=0

Can you show x = 0 to be true?

 

[MathLover1]

you know that sin(0)=0

sin(0)*sin(0)=sin^2(0)=0
same will be for any power
sin^100(0)=0

cos(0)=1 same reasoning as above
cos^100(0)=1

so,
sin^100(0)+cos^100(0)=1
0+1=1
1=1 ->true

 

[nycmathguy]

you know that sin(0)=0

sin(0)*sin(0)=sin^2(0)=0
same will be for any power
sin^100(0)=0

cos(0)=1 same reasoning as above
cos^100(0)=1

so,
sin^100(0)+cos^100(0)=1
0+1=1
1=1 ->true

Not so bad, honestly.