Q. Expanding by Taylor's theorem expansion of log sin(x+h) will be:
Answer (1)
6th Mar, 2022
Hello Aspirant,
I hope that you are doing well.
f(x)= log sin(x)
f(x+h)= log sin (x+h)
f(x+h)= f(x) + h f'(x) + h^2/2! f"(x)+ h^3/3! f'''(x)+...
f(x)= log(sin x)
f'(x)= cos x/ sin x=cot x
f"(x) = -cosec^2 x
f"'(x) = 2 cosec^2 cot x
log sin(x+h) = log(sin x) + h cot x - h^2 cosec^2 /2+
h^3/3 cosec^2x cot x + .........
I hope this helps.
Good luck!
Thank you
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