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Angle Sum+Difference Identities, Study Guides, Projects, Research of Algebra

Saint Mary's University (SMU)Algebra

Period____. Date________________. Angle Sum/Difference Identities. Use the angle sum identity to find the exact value of each. 1) cos 105°. 2) sin 195°.

Typology: Study Guides, Projects, Research

2021/2022

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Kuta Software - Infinite Algebra 2 Name___________________________________
Period____Date________________
Angle Sum/Difference Identities
Use the angle sum identity to find the exact value of each.
1) cos
105° 2) sin
195°
3) cos
195° 4) cos
165°
5) cos
285° 6) cos
255°
7) sin
105° 8) sin
285°
9) cos
75° 10) sin
255°
Use the angle difference identity to find the exact value of each.
11) cos
75° 12) cos
−15°
13) tan
75° 14) cos
15°
15) tan
−105° 16) sin
105°
17) tan
15° 18) sin
15°
19) tan
−15° 20) sin
−75°
Use the angle sum or difference identity to find the exact value of each.
21) sin
−105° 22) cos
195°
23) cos
7
π
12 24) tan
13
π
12
25) sin
π
12 26) cos
−7
π
12
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Kuta Software - Infinite Algebra 2 Name___________________________________

Angle Sum/Difference Identities Date________________ Period____

Use the angle sum identity to find the exact value of each.

  1. cos 105 ° 2) sin 195 °

  2. cos 195 ° 4) cos 165 °

  3. cos 285 ° 6) cos 255 °

  4. sin 105 ° 8) sin 285 °

  5. cos 75 ° 10) sin 255 ° Use the angle difference identity to find the exact value of each.

  6. cos 75 ° 12) cos −15°

  7. tan 75 ° 14) cos 15 °

  8. tan −105° 16) sin 105 °

  9. tan 15 ° 18) sin 15 °

  10. tan −15° 20) sin −75° Use the angle sum or difference identity to find the exact value of each.

  11. sin −105° 22) cos 195 °

  12. cos 712 π 24) tan 1312 π

  13. sin 12 π 26) cos −^712 π

Kuta Software - Infinite Algebra 2 Name___________________________________

Angle Sum/Difference Identities Date________________ Period____

Use the angle sum identity to find the exact value of each.

  1. cos 105 ° 2 4 − 6 2) sin 195 ° 2 4 −^6

  2. cos 195 ° −^6 4 − 2 4) cos 165 ° −^64 −^2

  3. cos 285 ° 6 4 − 2 6) cos 255 ° 2 4 −^6

  4. sin 105 ° 6 4 + 2 8) sin 285 ° −^6 4 −^2

  5. cos 75 ° 6 4 − 2 10) sin 255 ° −^6 4 −^2 Use the angle difference identity to find the exact value of each.

  6. cos 75 ° 6 4 − 2 12) cos −15° 6 4 +^2

  7. tan 2 + 75 ° 3 14) cos 15 ° 6 4 +^2

  8. tan 2 + −105 3 ° 16) sin 105 ° 6 4 +^2

  9. tan 2 − 15 ° 3 18) sin 15 ° 6 4 −^2

  10. tan 3 −15 − 2° 20) sin −75° −^64 −^2 Use the angle sum or difference identity to find the exact value of each.

  11. sin − −105 6 − ° 2 4

  12. cos 195 ° −^64 −^2

  13. cos 712 π^2 4 − 6 24) tan 1312 π 2 − 3

  14. sin 12 π^6 4 − 2 26) cos −^712 π^2 4 −^6