Discuss the continuity of the following functions (c)f(x)=sinx.cosx
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f(x) = sin(x).cos(x)
multiplying and diving by 2
f(x)= (1/2). 2sin(x).cos(x)
Using the identity 2sin(x).cos(x) = Sin(2x)
f(x) = (Sin 2x)/2
NOTE: AS TRIGNOMETRIC IDENTITIES ARE ALWAYS CONTINOUS, F(X) WOULD BE CONTINOUS TOO
hence F(x) is CONTINOUS at any value of x
multiplying and diving by 2
f(x)= (1/2). 2sin(x).cos(x)
Using the identity 2sin(x).cos(x) = Sin(2x)
f(x) = (Sin 2x)/2
NOTE: AS TRIGNOMETRIC IDENTITIES ARE ALWAYS CONTINOUS, F(X) WOULD BE CONTINOUS TOO
hence F(x) is CONTINOUS at any value of x
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