Cos7pi÷12 + cospi ÷12 =sinpi÷12-sinpi÷12
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Step-by-step explanation:
How do you find the exact value of the expression
sin
(
π
12
)
cos
(
π
4
)
+
cos
(
π
12
)
sin
(
π
4
)
?
Trigonometry Sum and Difference Identities
1 Answer
sjc
Mar 11, 2017
√
3
2
Explanation:
sin
(
π
12
)
cos
(
π
4
)
+
cos
(
π
12
)
sin
(
π
4
)
we use
sin
(
α
+
β
)
=
sin
α
cos
β
+
sin
β
cos
α
comparing this with the question we have
sin
(
π
12
+
π
4
)
=
sin
(
4
π
12
)
=
sin
(
π
3
)
=
√
3
2
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