Calculate the value of (sin(56 pi))/(sin(14 pi)). What is my mistake in the following calculations?

Ayanna Goodman

Ayanna Goodman

Answered question

2022-11-04

Calculate the value of
sin ( 56 π ) sin ( 14 π )
What is my mistake in the following calculations?

Answer & Explanation

Paskcreessy4k5

Paskcreessy4k5

Beginner2022-11-05Added 20 answers

Correctly using limits,
lim θ π sin ( 56 θ ) sin ( 14 θ ) = 4
and
lim θ π sin ( 28 π + 28 θ ) sin ( 14 θ ) = lim θ π sin ( 28 θ ) sin ( 14 θ ) = 2
and
lim θ π sin ( 42 π + 14 θ ) sin ( 14 θ ) = lim θ π sin ( 14 π + 14 θ ) sin ( 14 θ ) = lim θ π sin ( 14 θ ) sin ( 14 θ ) = 1.
Yet another explanation of why the pseudo-expression 0 0 is indeterminate.

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