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Grade 21 Algebra II
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Trigonometric Identities and Equations -Double Angles and Half Angles
Question: Use half-angle formula to find the value of
sin 15°
.
A ) -
2
-
3
2
B ) -
2
+
3
2
C )
2
+
3
2
D )
2
-
3
2
Steps to derive
1
sin 15° = +
1
-
cos
3
0
o
2
[Use sin
x
2
= +
1
-
cos
x
2
sin 15° is positive.
15° =
1
2
. 30° ]
2
=
1
-
3
2
2
=
2
-
3
4
=
2
-
3
2
[use cos 30° =
3
2
.]
Hence the right answer is Option D
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