Math  /  Trigonometry

QuestionQuestion 1 (2 points) Use the Unit Circle to match the following cosine functions to their exact value.
1. 1
2. 22-\frac{\sqrt{2}}{2} cos(90)\cos \left(90^{\circ}\right) cos(300)\cos \left(300^{\circ}\right) cos(390)\cos \left(390^{\circ}\right) cos(120)\cos \left(-120^{\circ}\right) cos(150)\cos \left(150^{\circ}\right)
3. 22\frac{\sqrt{2}}{2}
4. -1
5. 12\frac{1}{2}
6. 32-\frac{\sqrt{3}}{2}
7. 32\frac{\sqrt{3}}{2}
8. 0
9. 12-\frac{1}{2}

Studdy Solution
Provide the exact values for each cosine function:
1. cos(90)=0 \cos(90^\circ) = 0
2. cos(300)=12 \cos(300^\circ) = \frac{1}{2}
3. cos(390)=32 \cos(390^\circ) = \frac{\sqrt{3}}{2}
4. cos(120)=12 \cos(-120^\circ) = -\frac{1}{2}
5. cos(150)=32 \cos(150^\circ) = -\frac{\sqrt{3}}{2}

The cosine values matched to their respective angles are:
1. cos(90)=0 \cos(90^\circ) = 0
2. cos(300)=12 \cos(300^\circ) = \frac{1}{2}
3. cos(390)=32 \cos(390^\circ) = \frac{\sqrt{3}}{2}
4. cos(120)=12 \cos(-120^\circ) = -\frac{1}{2}
5. cos(150)=32 \cos(150^\circ) = -\frac{\sqrt{3}}{2}

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