Precalculus Quiz
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TRIGONOMETRIC IDENTITIES
Question 1
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Use the angle addition formulas to simplify
sin
(
x
+
π
4
)
+
sin
(
x
−
π
4
)
\sin\left(x+\dfrac{\pi}{4}\right)+\sin\left(x-\dfrac{\pi}{4}\right)
sin
(
x
+
4
π
)
+
sin
(
x
−
4
π
)
. What is the simplified expression?
A
2
sin
(
x
)
cos
(
π
4
)
2\sin(x)\cos\left(\dfrac{\pi}{4}\right)
2
sin
(
x
)
cos
(
4
π
)
B
2
cos
(
x
)
sin
(
π
4
)
2\cos(x)\sin\left(\dfrac{\pi}{4}\right)
2
cos
(
x
)
sin
(
4
π
)
C
sin
(
x
)
+
sin
(
π
4
)
\sin(x)+\sin\left(\dfrac{\pi}{4}\right)
sin
(
x
)
+
sin
(
4
π
)
D
2
sin
(
x
)
sin
(
π
4
)
2\sin(x)\sin\left(\dfrac{\pi}{4}\right)
2
sin
(
x
)
sin
(
4
π
)
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