find the value of cos(- pi/12) * cos(pi/12) - sin(- pi/12) * sin(pi/12)
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Answer:
We have,
cos
(
π
12
)
−
sin
(
π
12
)
,
=
√
2
{
1
√
2
⋅
cos
(
π
12
)
−
1
√
2
⋅
sin
(
π
12
)
}
,
=
√
2
{
cos
(
π
4
)
cos
(
π
12
)
−
sin
(
π
4
)
sin
(
π
12
)
}
,
=
√
2
cos
(
π
4
+
π
12
)
,
=
√
2
cos
(
4
π
12
)
=
√
2
cos
(
π
3
)
,
=
√
2
⋅
1
2
.
⇒
cos
(
π
12
)
−
sin
(
π
12
)
=
1
√
2.
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