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MariettaO [177]
3 years ago
8

Is sin(x) even or odd ? prove with examples ?

Mathematics
2 answers:
Gwar [14]3 years ago
6 0

Answer:

sin x is an odd function.

Step-by-step explanation:

f(x) = sin x

even function are those function in which when we   put x = -x the function comes out to be f(-x) = f(x)

odd functions are those functions when we put x = -x then function comes out  to be f(-x) = -f(x).

so,

in sin x when put x = -x

f(-x) =  sin (-x)

      = -sin (x)

hence, f(-x) = - f(x)

hence sin x is an odd function.

zloy xaker [14]3 years ago
4 0

Answer:

\text{sin}(x) is an odd function.

Step-by-step explanation:

We are asked to prove whether \text{sin}(x) is even or odd.

We know that a function f(x) is even if f(x)=f(-x) and a function f(x) is odd, when f(-x)=-f(x).

We also know that an even function is symmetric with respect to y-axis and an odd function is symmetric about the origin.

Upon looking at our attachment, we can see that \text{sin}(x) is symmetric with respect to origin, therefore, \text{sin}(x) is an odd function.

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