Sum & Difference Identities And The Values Chart Worksheet With Answer Key Page 4
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1
2
3
413. cos 75 °
cos ( 30° + 45° ) =
√ 6 − √ 2
cos 30° cos 45° − sin 30° sin 45° =
4
√ 3
√ 2
1
√ 2
(
) (
) − (
) (
)
2
2
2
2
14. sin −15°
sin ( 30° − 45° )
√ 2 − √ 6
sin 30° cos 45° − cos 30° sin 45° =
4
1
√ 2
√ 3
√ 2
(
) (
) − (
) (
)
2
2
2
2
15. cos 195°
cos ( 150° + 45° ) =
− √ 6 − √ 2
cos 150° cos 45° − sin 150° sin 45° =
4
√ 3
√ 2
1
√ 2
(−
) (
) − (
) (
)
2
2
2
2
7��
��
��
16. tan
tan (
+
) =
12
4
3
1 + √ 3
tan
+ tan
1 + √ 3
��
��
4
3
1 − √ 3
=
1 − tan
tan
��
��
1 − √ 3
4
3
17. cos 105°
cos ( 60° + 45° ) =
√ 2 − √ 6
cos 60° cos 45° − sin 60° sin 45° =
4
1
√ 2
√ 3
√ 2
(
) (
) − (
) (
)
2
2
2
2
18. sin 105°
sin ( 60° + 45° )
√ 6 + √ 2
sin 60° cos 45° + cos 60° sin 45° =
4
√ 3
√ 2
1
√ 2
(
) (
) + (
) (
)
2
2
2
2
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