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