Determine each function as even, odd, or neither. Prove it!
(#21) f(x)= sinx
(22.) f(x)=cos2x
(23.) f(x)= sec x
(24.)f(x)=x^3+1
(25.)f(x)=3sq. root 2x
(26.)f(x)=x^3+2x

Question

Determine each function as even, odd, or neither. Prove it!
(#21) f(x)= sinx 
(22.) f(x)=cos2x 
(23.) f(x)= sec x
(24.)f(x)=x^3+1
(25.)f(x)=3sq. root 2x
(26.)f(x)=x^3+2x

anonymous · Answer

sinx is even, because sin(pi/2)= 1 and sin(-pi/2)=-1

anonymous · Answer

sinx is odd

anonymous · Answer

i think you might have the definitions mixed up.  a function is even if:
$$f(-x) = f(x)$$ and odd if:
$$f(-x) = -f(x)$$

sin(x) is odd because:
$$s(-x) = -\sin(x)$$

anonymous · Answer

cos 2x should be even

anonymous · Answer

secx even

anonymous · Answer

3sqrt(2x) can't be negative so maybe not even and not odd

anonymous · Answer

rest should be odd

anonymous · Answer

x^3+1 is neither.

x^3 by itself is odd, the +1 throws things off.

anonymous · Answer

Yes thanks Joe................... I forgot the 1 effect lol