show that the function f(x) = sinx + cosx is not an injective function.​

1 thought on “show that the function f(x) = sinx + cosx is not an injective function.​”

1. Step-by-step explanation:

   f:R→R,f(x)=2x+7

   dx

   dy

   =2>0→ one-one (Injective)

   B:

   f:[0,π]→[−1,1],f(x)=cosx

   dx

   dy

   =sinx=(+ve)→ one-one (Injective)

   C:

   f:[−

   2

   π

   ,

   2

   π

   ],f(x)=2sinx+3

   dx

   dy

   =2cosx=+ve→ one-one (Injective)

   D:

   f:R→[−1,1],f(x)=sinx

   dx

   dy

   =cosx=+ve & −ve→ many one

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