1. Sum and Difference Identities

2. Sum and Difference Identities
The identity above is a short hand method for writing two identities as one. When these identities are broken up, they look like
The identity above is a short hand method for writing two identities as one. When these identities are broken up, they look like

3. Find the exact value of the following trigonometric functions below given
and
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4. Find the exact value of the following trigonometric functions below given
and
Triangle for α b 3 α 7
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5. Find the exact value of the following trigonometric functions below given
and
Triangle for β 4 a β 5
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6. Find the exact value of the following trigonometric functions below given
and 3 α 7
Now that we have our triangles, we can use the cosine identity for the sum of two angles to complete the problem. 4 3 β 5
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7. Find the exact value of the following trigonometric functions below given
and 3 α 7
Note: Since α is in quadrant Iv, the sine value will be negative
Now that we have our triangles, we can use the cosine identity for the sum of two angles to complete the problem. 4 3 β 5
Note: Since β is in quadrant II, the cosine value will be negative
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8. Find the exact value of the following trigonometric functions below given
and 3 α 7 4 3 β 5
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9. Find the exact value of the following trigonometric functions below given
and
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10. Find the exact value of the following trigonometric functions below given
and 3 α 7
Note: Since α is in quadrant Iv, the sine value will be negative
Now that we have our triangles, we can use the cosine identity for the sum of two angles to complete the problem. 4 3 β 5
Note: Since β is in quadrant II, the cosine value will be negative
continued on next slide

11. Find the exact value of the following trigonometric functions below given
and 3 α 7 4 3 β 5