value of sin Π/8 and cosΠ/8
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sin
(
π
8
)
=
√
2
−
√
2
2
Explanation:
Use trig identity:
2
sin
2
a
=
1
−
cos
2
a
In this case,
a
=
π
8
and
2
a
=
π
4
-->
cos
π
4
=
√
2
2
-->
2
sin
2
(
π
8
)
=
1
−
√
2
2
=
2
−
√
2
2
sin
(
π
8
)
=
±
√
2
−
√
2
2
Since (pi/8) is in Q. 1, take the positive value.
sin
(
π
8
)
=
√
2
−
√
2
2
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