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Mathematics
Mathematics
Problem
89. Use the cofunction identities and odd-even identities to prove that
sin
(
π
−
x
)
=
sin
x
\sin (\pi-x)=\sin x
sin
(
π
−
x
)
=
sin
x
. [Hint:
sin
(
π
−
x
)
=
sin
(
π
/
2
−
(
x
−
π
/
2
)
)
\sin (\pi-x)=\sin (\pi / 2-(x-\pi / 2))
sin
(
π
−
x
)
=
sin
(
π
/2
−
(
x
−
π
/2
))
.]
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